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Finding the Fourth Proportional to 622.32, 929.06 and 577.20

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Solution

The fourth proportional to 622.32, 929.06 and 577.20 is: 861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.32 : 929.06 = 577.20 : x
  2. Step 2: Convert to fraction form
    622.32/929.06 = 577.20/x
  3. Step 3: Cross multiply
    622.32x = 929.06 × 577.20
  4. Step 4: Simplify right side
    622.32x = 536,253.43
  5. Step 5: Solve for x
    x = 536,253.43/622.32
  6. Step 6: Final answer
    x = 861.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.