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Finding the Fourth Proportional to 1,090.54, 1,504.91 and 624.76

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Solution

The fourth proportional to 1,090.54, 1,504.91 and 624.76 is: 862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.54 : 1,504.91 = 624.76 : x
  2. Step 2: Convert to fraction form
    1,090.54/1,504.91 = 624.76/x
  3. Step 3: Cross multiply
    1,090.54x = 1,504.91 × 624.76
  4. Step 4: Simplify right side
    1,090.54x = 940,207.57
  5. Step 5: Solve for x
    x = 940,207.57/1,090.54
  6. Step 6: Final answer
    x = 862.15

Related Problems

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Half scale
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Double scale
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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.