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Finding the Fourth Proportional to 944.80, 1,415.38 and 458.19

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Solution

The fourth proportional to 944.80, 1,415.38 and 458.19 is: 686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.80 : 1,415.38 = 458.19 : x
  2. Step 2: Convert to fraction form
    944.80/1,415.38 = 458.19/x
  3. Step 3: Cross multiply
    944.80x = 1,415.38 × 458.19
  4. Step 4: Simplify right side
    944.80x = 648,517.12
  5. Step 5: Solve for x
    x = 648,517.12/944.80
  6. Step 6: Final answer
    x = 686.41

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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.