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Finding the Fourth Proportional to 956.98, 1,435.71 and 487.30

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Solution

The fourth proportional to 956.98, 1,435.71 and 487.30 is: 731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.98 : 1,435.71 = 487.30 : x
  2. Step 2: Convert to fraction form
    956.98/1,435.71 = 487.30/x
  3. Step 3: Cross multiply
    956.98x = 1,435.71 × 487.30
  4. Step 4: Simplify right side
    956.98x = 699,621.48
  5. Step 5: Solve for x
    x = 699,621.48/956.98
  6. Step 6: Final answer
    x = 731.07

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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.