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Finding the Fourth Proportional to 956.55, 1,434.50 and 463.19

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Solution

The fourth proportional to 956.55, 1,434.50 and 463.19 is: 694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.55 : 1,434.50 = 463.19 : x
  2. Step 2: Convert to fraction form
    956.55/1,434.50 = 463.19/x
  3. Step 3: Cross multiply
    956.55x = 1,434.50 × 463.19
  4. Step 4: Simplify right side
    956.55x = 664,446.06
  5. Step 5: Solve for x
    x = 664,446.06/956.55
  6. Step 6: Final answer
    x = 694.63

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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.