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Finding the Fourth Proportional to 956.71, 1,433.21 and 560.43

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Solution

The fourth proportional to 956.71, 1,433.21 and 560.43 is: 839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.71 : 1,433.21 = 560.43 : x
  2. Step 2: Convert to fraction form
    956.71/1,433.21 = 560.43/x
  3. Step 3: Cross multiply
    956.71x = 1,433.21 × 560.43
  4. Step 4: Simplify right side
    956.71x = 803,213.88
  5. Step 5: Solve for x
    x = 803,213.88/956.71
  6. Step 6: Final answer
    x = 839.56

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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.