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Finding the Fourth Proportional to 668.32, 1,008.28 and 638.08

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Solution

The fourth proportional to 668.32, 1,008.28 and 638.08 is: 962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.32 : 1,008.28 = 638.08 : x
  2. Step 2: Convert to fraction form
    668.32/1,008.28 = 638.08/x
  3. Step 3: Cross multiply
    668.32x = 1,008.28 × 638.08
  4. Step 4: Simplify right side
    668.32x = 643,363.30
  5. Step 5: Solve for x
    x = 643,363.30/668.32
  6. Step 6: Final answer
    x = 962.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.