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Finding the Fourth Proportional to 424.14, 632.61 and 400.38

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Solution

The fourth proportional to 424.14, 632.61 and 400.38 is: 597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.14 : 632.61 = 400.38 : x
  2. Step 2: Convert to fraction form
    424.14/632.61 = 400.38/x
  3. Step 3: Cross multiply
    424.14x = 632.61 × 400.38
  4. Step 4: Simplify right side
    424.14x = 253,284.39
  5. Step 5: Solve for x
    x = 253,284.39/424.14
  6. Step 6: Final answer
    x = 597.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.