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Finding the Fourth Proportional to 657.04, 985.20 and 644.80

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Solution

The fourth proportional to 657.04, 985.20 and 644.80 is: 966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.04 : 985.20 = 644.80 : x
  2. Step 2: Convert to fraction form
    657.04/985.20 = 644.80/x
  3. Step 3: Cross multiply
    657.04x = 985.20 × 644.80
  4. Step 4: Simplify right side
    657.04x = 635,256.96
  5. Step 5: Solve for x
    x = 635,256.96/657.04
  6. Step 6: Final answer
    x = 966.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.