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Finding the Fourth Proportional to 497.16, 749.88 and 437.04

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Solution

The fourth proportional to 497.16, 749.88 and 437.04 is: 659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.16 : 749.88 = 437.04 : x
  2. Step 2: Convert to fraction form
    497.16/749.88 = 437.04/x
  3. Step 3: Cross multiply
    497.16x = 749.88 × 437.04
  4. Step 4: Simplify right side
    497.16x = 327,727.56
  5. Step 5: Solve for x
    x = 327,727.56/497.16
  6. Step 6: Final answer
    x = 659.20

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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.