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Finding the Fourth Proportional to 944.02, 1,417.65 and 458.02

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Solution

The fourth proportional to 944.02, 1,417.65 and 458.02 is: 687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.02 : 1,417.65 = 458.02 : x
  2. Step 2: Convert to fraction form
    944.02/1,417.65 = 458.02/x
  3. Step 3: Cross multiply
    944.02x = 1,417.65 × 458.02
  4. Step 4: Simplify right side
    944.02x = 649,312.05
  5. Step 5: Solve for x
    x = 649,312.05/944.02
  6. Step 6: Final answer
    x = 687.82

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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.