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Finding the Fourth Proportional to 655.14, 981.28 and 410.47

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Solution

The fourth proportional to 655.14, 981.28 and 410.47 is: 614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.14 : 981.28 = 410.47 : x
  2. Step 2: Convert to fraction form
    655.14/981.28 = 410.47/x
  3. Step 3: Cross multiply
    655.14x = 981.28 × 410.47
  4. Step 4: Simplify right side
    655.14x = 402,784.06
  5. Step 5: Solve for x
    x = 402,784.06/655.14
  6. Step 6: Final answer
    x = 614.81

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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.