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Finding the Fourth Proportional to 555.26, 831.92 and 400.44

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Solution

The fourth proportional to 555.26, 831.92 and 400.44 is: 599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.26 : 831.92 = 400.44 : x
  2. Step 2: Convert to fraction form
    555.26/831.92 = 400.44/x
  3. Step 3: Cross multiply
    555.26x = 831.92 × 400.44
  4. Step 4: Simplify right side
    555.26x = 333,134.04
  5. Step 5: Solve for x
    x = 333,134.04/555.26
  6. Step 6: Final answer
    x = 599.96

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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.