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Finding the Fourth Proportional to 937.35, 1,404.80 and 474.88

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Solution

The fourth proportional to 937.35, 1,404.80 and 474.88 is: 711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.35 : 1,404.80 = 474.88 : x
  2. Step 2: Convert to fraction form
    937.35/1,404.80 = 474.88/x
  3. Step 3: Cross multiply
    937.35x = 1,404.80 × 474.88
  4. Step 4: Simplify right side
    937.35x = 667,111.42
  5. Step 5: Solve for x
    x = 667,111.42/937.35
  6. Step 6: Final answer
    x = 711.70

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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.