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Finding the Fourth Proportional to 944.96, 1,418.10 and 458.24

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Solution

The fourth proportional to 944.96, 1,418.10 and 458.24 is: 687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.96 : 1,418.10 = 458.24 : x
  2. Step 2: Convert to fraction form
    944.96/1,418.10 = 458.24/x
  3. Step 3: Cross multiply
    944.96x = 1,418.10 × 458.24
  4. Step 4: Simplify right side
    944.96x = 649,830.14
  5. Step 5: Solve for x
    x = 649,830.14/944.96
  6. Step 6: Final answer
    x = 687.68

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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.