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Finding the Fourth Proportional to 498.32, 746.48 and 437.52

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Solution

The fourth proportional to 498.32, 746.48 and 437.52 is: 655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.32 : 746.48 = 437.52 : x
  2. Step 2: Convert to fraction form
    498.32/746.48 = 437.52/x
  3. Step 3: Cross multiply
    498.32x = 746.48 × 437.52
  4. Step 4: Simplify right side
    498.32x = 326,599.93
  5. Step 5: Solve for x
    x = 326,599.93/498.32
  6. Step 6: Final answer
    x = 655.40

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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.