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Finding the Fourth Proportional to 956.34, 1,433.16 and 407.97

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Solution

The fourth proportional to 956.34, 1,433.16 and 407.97 is: 611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.34 : 1,433.16 = 407.97 : x
  2. Step 2: Convert to fraction form
    956.34/1,433.16 = 407.97/x
  3. Step 3: Cross multiply
    956.34x = 1,433.16 × 407.97
  4. Step 4: Simplify right side
    956.34x = 584,686.29
  5. Step 5: Solve for x
    x = 584,686.29/956.34
  6. Step 6: Final answer
    x = 611.38

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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.