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Finding the Fourth Proportional to 937.14, 1,404.20 and 498.38

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Solution

The fourth proportional to 937.14, 1,404.20 and 498.38 is: 746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.14 : 1,404.20 = 498.38 : x
  2. Step 2: Convert to fraction form
    937.14/1,404.20 = 498.38/x
  3. Step 3: Cross multiply
    937.14x = 1,404.20 × 498.38
  4. Step 4: Simplify right side
    937.14x = 699,825.20
  5. Step 5: Solve for x
    x = 699,825.20/937.14
  6. Step 6: Final answer
    x = 746.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.