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Finding the Fourth Proportional to 642.32, 883.12 and 522.80

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Solution

The fourth proportional to 642.32, 883.12 and 522.80 is: 718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.32 : 883.12 = 522.80 : x
  2. Step 2: Convert to fraction form
    642.32/883.12 = 522.80/x
  3. Step 3: Cross multiply
    642.32x = 883.12 × 522.80
  4. Step 4: Simplify right side
    642.32x = 461,695.14
  5. Step 5: Solve for x
    x = 461,695.14/642.32
  6. Step 6: Final answer
    x = 718.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.