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Finding the Fourth Proportional to 937.67, 1,293.72 and 564.53

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Solution

The fourth proportional to 937.67, 1,293.72 and 564.53 is: 778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.67 : 1,293.72 = 564.53 : x
  2. Step 2: Convert to fraction form
    937.67/1,293.72 = 564.53/x
  3. Step 3: Cross multiply
    937.67x = 1,293.72 × 564.53
  4. Step 4: Simplify right side
    937.67x = 730,343.75
  5. Step 5: Solve for x
    x = 730,343.75/937.67
  6. Step 6: Final answer
    x = 778.89

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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.