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Finding the Fourth Proportional to 956.43, 1,434.81 and 307.13

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Solution

The fourth proportional to 956.43, 1,434.81 and 307.13 is: 460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.43 : 1,434.81 = 307.13 : x
  2. Step 2: Convert to fraction form
    956.43/1,434.81 = 307.13/x
  3. Step 3: Cross multiply
    956.43x = 1,434.81 × 307.13
  4. Step 4: Simplify right side
    956.43x = 440,666.02
  5. Step 5: Solve for x
    x = 440,666.02/956.43
  6. Step 6: Final answer
    x = 460.74

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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.