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Finding the Fourth Proportional to 956.56, 1,435.06 and 408.76

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Solution

The fourth proportional to 956.56, 1,435.06 and 408.76 is: 613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.56 : 1,435.06 = 408.76 : x
  2. Step 2: Convert to fraction form
    956.56/1,435.06 = 408.76/x
  3. Step 3: Cross multiply
    956.56x = 1,435.06 × 408.76
  4. Step 4: Simplify right side
    956.56x = 586,595.13
  5. Step 5: Solve for x
    x = 586,595.13/956.56
  6. Step 6: Final answer
    x = 613.23

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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.