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Finding the Fourth Proportional to 1,090.75, 1,505.25 and 593.41

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Solution

The fourth proportional to 1,090.75, 1,505.25 and 593.41 is: 818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.75 : 1,505.25 = 593.41 : x
  2. Step 2: Convert to fraction form
    1,090.75/1,505.25 = 593.41/x
  3. Step 3: Cross multiply
    1,090.75x = 1,505.25 × 593.41
  4. Step 4: Simplify right side
    1,090.75x = 893,230.40
  5. Step 5: Solve for x
    x = 893,230.40/1,090.75
  6. Step 6: Final answer
    x = 818.91

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.