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Finding the Fourth Proportional to 937.92, 1,407.60 and 505.44

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Solution

The fourth proportional to 937.92, 1,407.60 and 505.44 is: 758.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.92 : 1,407.60 = 505.44 : x
  2. Step 2: Convert to fraction form
    937.92/1,407.60 = 505.44/x
  3. Step 3: Cross multiply
    937.92x = 1,407.60 × 505.44
  4. Step 4: Simplify right side
    937.92x = 711,457.34
  5. Step 5: Solve for x
    x = 711,457.34/937.92
  6. Step 6: Final answer
    x = 758.55

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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.