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Finding the Fourth Proportional to 555.52, 831.40 and 434.34

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Solution

The fourth proportional to 555.52, 831.40 and 434.34 is: 650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.52 : 831.40 = 434.34 : x
  2. Step 2: Convert to fraction form
    555.52/831.40 = 434.34/x
  3. Step 3: Cross multiply
    555.52x = 831.40 × 434.34
  4. Step 4: Simplify right side
    555.52x = 361,110.28
  5. Step 5: Solve for x
    x = 361,110.28/555.52
  6. Step 6: Final answer
    x = 650.04

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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.