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Finding the Fourth Proportional to 555.38, 831.54 and 400.47

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Solution

The fourth proportional to 555.38, 831.54 and 400.47 is: 599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.38 : 831.54 = 400.47 : x
  2. Step 2: Convert to fraction form
    555.38/831.54 = 400.47/x
  3. Step 3: Cross multiply
    555.38x = 831.54 × 400.47
  4. Step 4: Simplify right side
    555.38x = 333,006.82
  5. Step 5: Solve for x
    x = 333,006.82/555.38
  6. Step 6: Final answer
    x = 599.60

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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.