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Finding the Fourth Proportional to 770.43, 1,154.14 and 731.07

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Solution

The fourth proportional to 770.43, 1,154.14 and 731.07 is: 1,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.43 : 1,154.14 = 731.07 : x
  2. Step 2: Convert to fraction form
    770.43/1,154.14 = 731.07/x
  3. Step 3: Cross multiply
    770.43x = 1,154.14 × 731.07
  4. Step 4: Simplify right side
    770.43x = 843,757.13
  5. Step 5: Solve for x
    x = 843,757.13/770.43
  6. Step 6: Final answer
    x = 1,095.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.