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Finding the Fourth Proportional to 937.85, 1,291.95 and 657.52

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Solution

The fourth proportional to 937.85, 1,291.95 and 657.52 is: 905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.85 : 1,291.95 = 657.52 : x
  2. Step 2: Convert to fraction form
    937.85/1,291.95 = 657.52/x
  3. Step 3: Cross multiply
    937.85x = 1,291.95 × 657.52
  4. Step 4: Simplify right side
    937.85x = 849,479.73
  5. Step 5: Solve for x
    x = 849,479.73/937.85
  6. Step 6: Final answer
    x = 905.78

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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.