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Finding the Fourth Proportional to 956.31, 1,434.56 and 306.89

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Solution

The fourth proportional to 956.31, 1,434.56 and 306.89 is: 460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.31 : 1,434.56 = 306.89 : x
  2. Step 2: Convert to fraction form
    956.31/1,434.56 = 306.89/x
  3. Step 3: Cross multiply
    956.31x = 1,434.56 × 306.89
  4. Step 4: Simplify right side
    956.31x = 440,252.12
  5. Step 5: Solve for x
    x = 440,252.12/956.31
  6. Step 6: Final answer
    x = 460.37

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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.