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Finding the Fourth Proportional to 498.76, 746.62 and 411.89

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Solution

The fourth proportional to 498.76, 746.62 and 411.89 is: 616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.76 : 746.62 = 411.89 : x
  2. Step 2: Convert to fraction form
    498.76/746.62 = 411.89/x
  3. Step 3: Cross multiply
    498.76x = 746.62 × 411.89
  4. Step 4: Simplify right side
    498.76x = 307,520.55
  5. Step 5: Solve for x
    x = 307,520.55/498.76
  6. Step 6: Final answer
    x = 616.57

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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.