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Finding the Fourth Proportional to 937.50, 1,293.75 and 517.83

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Solution

The fourth proportional to 937.50, 1,293.75 and 517.83 is: 714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.50 : 1,293.75 = 517.83 : x
  2. Step 2: Convert to fraction form
    937.50/1,293.75 = 517.83/x
  3. Step 3: Cross multiply
    937.50x = 1,293.75 × 517.83
  4. Step 4: Simplify right side
    937.50x = 669,939.97
  5. Step 5: Solve for x
    x = 669,939.97/937.50
  6. Step 6: Final answer
    x = 714.60

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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.