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Finding the Fourth Proportional to 498.02, 747.51 and 416.28

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Solution

The fourth proportional to 498.02, 747.51 and 416.28 is: 624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.02 : 747.51 = 416.28 : x
  2. Step 2: Convert to fraction form
    498.02/747.51 = 416.28/x
  3. Step 3: Cross multiply
    498.02x = 747.51 × 416.28
  4. Step 4: Simplify right side
    498.02x = 311,173.46
  5. Step 5: Solve for x
    x = 311,173.46/498.02
  6. Step 6: Final answer
    x = 624.83

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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.