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Finding the Fourth Proportional to 498.78, 745.02 and 425.88

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Solution

The fourth proportional to 498.78, 745.02 and 425.88 is: 636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.78 : 745.02 = 425.88 : x
  2. Step 2: Convert to fraction form
    498.78/745.02 = 425.88/x
  3. Step 3: Cross multiply
    498.78x = 745.02 × 425.88
  4. Step 4: Simplify right side
    498.78x = 317,289.12
  5. Step 5: Solve for x
    x = 317,289.12/498.78
  6. Step 6: Final answer
    x = 636.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.