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Finding the Fourth Proportional to 498.15, 743.57 and 461.50

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Solution

The fourth proportional to 498.15, 743.57 and 461.50 is: 688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.15 : 743.57 = 461.50 : x
  2. Step 2: Convert to fraction form
    498.15/743.57 = 461.50/x
  3. Step 3: Cross multiply
    498.15x = 743.57 × 461.50
  4. Step 4: Simplify right side
    498.15x = 343,157.56
  5. Step 5: Solve for x
    x = 343,157.56/498.15
  6. Step 6: Final answer
    x = 688.86

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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.