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Finding the Fourth Proportional to 639.68, 880.32 and 566.24

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Solution

The fourth proportional to 639.68, 880.32 and 566.24 is: 779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.68 : 880.32 = 566.24 : x
  2. Step 2: Convert to fraction form
    639.68/880.32 = 566.24/x
  3. Step 3: Cross multiply
    639.68x = 880.32 × 566.24
  4. Step 4: Simplify right side
    639.68x = 498,472.40
  5. Step 5: Solve for x
    x = 498,472.40/639.68
  6. Step 6: Final answer
    x = 779.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.