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Finding the Fourth Proportional to 1,030.75, 1,422.32 and 611.13

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Solution

The fourth proportional to 1,030.75, 1,422.32 and 611.13 is: 843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.75 : 1,422.32 = 611.13 : x
  2. Step 2: Convert to fraction form
    1,030.75/1,422.32 = 611.13/x
  3. Step 3: Cross multiply
    1,030.75x = 1,422.32 × 611.13
  4. Step 4: Simplify right side
    1,030.75x = 869,222.42
  5. Step 5: Solve for x
    x = 869,222.42/1,030.75
  6. Step 6: Final answer
    x = 843.29

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.