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Finding the Fourth Proportional to 622.02, 932.12 and 553.68

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Solution

The fourth proportional to 622.02, 932.12 and 553.68 is: 829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.02 : 932.12 = 553.68 : x
  2. Step 2: Convert to fraction form
    622.02/932.12 = 553.68/x
  3. Step 3: Cross multiply
    622.02x = 932.12 × 553.68
  4. Step 4: Simplify right side
    622.02x = 516,088.77
  5. Step 5: Solve for x
    x = 516,088.77/622.02
  6. Step 6: Final answer
    x = 829.70

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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.