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Finding the Fourth Proportional to 655.71, 981.42 and 424.01

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Solution

The fourth proportional to 655.71, 981.42 and 424.01 is: 634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.71 : 981.42 = 424.01 : x
  2. Step 2: Convert to fraction form
    655.71/981.42 = 424.01/x
  3. Step 3: Cross multiply
    655.71x = 981.42 × 424.01
  4. Step 4: Simplify right side
    655.71x = 416,131.89
  5. Step 5: Solve for x
    x = 416,131.89/655.71
  6. Step 6: Final answer
    x = 634.63

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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.