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Finding the Fourth Proportional to 937.06, 1,405.78 and 475.10

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Solution

The fourth proportional to 937.06, 1,405.78 and 475.10 is: 712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.06 : 1,405.78 = 475.10 : x
  2. Step 2: Convert to fraction form
    937.06/1,405.78 = 475.10/x
  3. Step 3: Cross multiply
    937.06x = 1,405.78 × 475.10
  4. Step 4: Simplify right side
    937.06x = 667,886.08
  5. Step 5: Solve for x
    x = 667,886.08/937.06
  6. Step 6: Final answer
    x = 712.75

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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.