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Finding the Fourth Proportional to 659.52, 908.88 and 643.32

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Solution

The fourth proportional to 659.52, 908.88 and 643.32 is: 886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.52 : 908.88 = 643.32 : x
  2. Step 2: Convert to fraction form
    659.52/908.88 = 643.32/x
  3. Step 3: Cross multiply
    659.52x = 908.88 × 643.32
  4. Step 4: Simplify right side
    659.52x = 584,700.68
  5. Step 5: Solve for x
    x = 584,700.68/659.52
  6. Step 6: Final answer
    x = 886.55

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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.