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Finding the Fourth Proportional to 956.47, 1,434.12 and 841.15

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Solution

The fourth proportional to 956.47, 1,434.12 and 841.15 is: 1,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.47 : 1,434.12 = 841.15 : x
  2. Step 2: Convert to fraction form
    956.47/1,434.12 = 841.15/x
  3. Step 3: Cross multiply
    956.47x = 1,434.12 × 841.15
  4. Step 4: Simplify right side
    956.47x = 1,206,310.04
  5. Step 5: Solve for x
    x = 1,206,310.04/956.47
  6. Step 6: Final answer
    x = 1,261.21

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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.