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Finding the Fourth Proportional to 737.59, 1,017.96 and 422.91

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Solution

The fourth proportional to 737.59, 1,017.96 and 422.91 is: 583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.59 : 1,017.96 = 422.91 : x
  2. Step 2: Convert to fraction form
    737.59/1,017.96 = 422.91/x
  3. Step 3: Cross multiply
    737.59x = 1,017.96 × 422.91
  4. Step 4: Simplify right side
    737.59x = 430,505.46
  5. Step 5: Solve for x
    x = 430,505.46/737.59
  6. Step 6: Final answer
    x = 583.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.