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Finding the Fourth Proportional to 494.80, 746.12 and 437.20

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Solution

The fourth proportional to 494.80, 746.12 and 437.20 is: 659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.80 : 746.12 = 437.20 : x
  2. Step 2: Convert to fraction form
    494.80/746.12 = 437.20/x
  3. Step 3: Cross multiply
    494.80x = 746.12 × 437.20
  4. Step 4: Simplify right side
    494.80x = 326,203.66
  5. Step 5: Solve for x
    x = 326,203.66/494.80
  6. Step 6: Final answer
    x = 659.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.