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Finding the Fourth Proportional to 666.24, 997.44 and 494.72

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Solution

The fourth proportional to 666.24, 997.44 and 494.72 is: 740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.24 : 997.44 = 494.72 : x
  2. Step 2: Convert to fraction form
    666.24/997.44 = 494.72/x
  3. Step 3: Cross multiply
    666.24x = 997.44 × 494.72
  4. Step 4: Simplify right side
    666.24x = 493,453.52
  5. Step 5: Solve for x
    x = 493,453.52/666.24
  6. Step 6: Final answer
    x = 740.65

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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.