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Finding the Fourth Proportional to 944.64, 1,417.87 and 458.03

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Solution

The fourth proportional to 944.64, 1,417.87 and 458.03 is: 687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.64 : 1,417.87 = 458.03 : x
  2. Step 2: Convert to fraction form
    944.64/1,417.87 = 458.03/x
  3. Step 3: Cross multiply
    944.64x = 1,417.87 × 458.03
  4. Step 4: Simplify right side
    944.64x = 649,431.11
  5. Step 5: Solve for x
    x = 649,431.11/944.64
  6. Step 6: Final answer
    x = 687.49

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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.