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Finding the Fourth Proportional to 494.40, 739.98 and 487.92

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Solution

The fourth proportional to 494.40, 739.98 and 487.92 is: 730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.40 : 739.98 = 487.92 : x
  2. Step 2: Convert to fraction form
    494.40/739.98 = 487.92/x
  3. Step 3: Cross multiply
    494.40x = 739.98 × 487.92
  4. Step 4: Simplify right side
    494.40x = 361,051.04
  5. Step 5: Solve for x
    x = 361,051.04/494.40
  6. Step 6: Final answer
    x = 730.28

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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.