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Finding the Fourth Proportional to 937.42, 1,293.67 and 517.81

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Solution

The fourth proportional to 937.42, 1,293.67 and 517.81 is: 714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.42 : 1,293.67 = 517.81 : x
  2. Step 2: Convert to fraction form
    937.42/1,293.67 = 517.81/x
  3. Step 3: Cross multiply
    937.42x = 1,293.67 × 517.81
  4. Step 4: Simplify right side
    937.42x = 669,868.79
  5. Step 5: Solve for x
    x = 669,868.79/937.42
  6. Step 6: Final answer
    x = 714.59

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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.