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Finding the Fourth Proportional to 555.25, 831.91 and 400.43

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Solution

The fourth proportional to 555.25, 831.91 and 400.43 is: 599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.25 : 831.91 = 400.43 : x
  2. Step 2: Convert to fraction form
    555.25/831.91 = 400.43/x
  3. Step 3: Cross multiply
    555.25x = 831.91 × 400.43
  4. Step 4: Simplify right side
    555.25x = 333,121.72
  5. Step 5: Solve for x
    x = 333,121.72/555.25
  6. Step 6: Final answer
    x = 599.95

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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.