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Finding the Fourth Proportional to 937.47, 1,293.66 and 605.91

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Solution

The fourth proportional to 937.47, 1,293.66 and 605.91 is: 836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.47 : 1,293.66 = 605.91 : x
  2. Step 2: Convert to fraction form
    937.47/1,293.66 = 605.91/x
  3. Step 3: Cross multiply
    937.47x = 1,293.66 × 605.91
  4. Step 4: Simplify right side
    937.47x = 783,841.53
  5. Step 5: Solve for x
    x = 783,841.53/937.47
  6. Step 6: Final answer
    x = 836.12

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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.