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Finding the Fourth Proportional to 956.18, 1,434.90 and 408.48

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Solution

The fourth proportional to 956.18, 1,434.90 and 408.48 is: 612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.18 : 1,434.90 = 408.48 : x
  2. Step 2: Convert to fraction form
    956.18/1,434.90 = 408.48/x
  3. Step 3: Cross multiply
    956.18x = 1,434.90 × 408.48
  4. Step 4: Simplify right side
    956.18x = 586,127.95
  5. Step 5: Solve for x
    x = 586,127.95/956.18
  6. Step 6: Final answer
    x = 612.99

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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.