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Finding the Fourth Proportional to 945.43, 1,418.28 and 458.08

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Solution

The fourth proportional to 945.43, 1,418.28 and 458.08 is: 687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.43 : 1,418.28 = 458.08 : x
  2. Step 2: Convert to fraction form
    945.43/1,418.28 = 458.08/x
  3. Step 3: Cross multiply
    945.43x = 1,418.28 × 458.08
  4. Step 4: Simplify right side
    945.43x = 649,685.70
  5. Step 5: Solve for x
    x = 649,685.70/945.43
  6. Step 6: Final answer
    x = 687.19

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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.