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Finding the Fourth Proportional to 498.65, 743.57 and 464.02

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Solution

The fourth proportional to 498.65, 743.57 and 464.02 is: 691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.65 : 743.57 = 464.02 : x
  2. Step 2: Convert to fraction form
    498.65/743.57 = 464.02/x
  3. Step 3: Cross multiply
    498.65x = 743.57 × 464.02
  4. Step 4: Simplify right side
    498.65x = 345,031.52
  5. Step 5: Solve for x
    x = 345,031.52/498.65
  6. Step 6: Final answer
    x = 691.94

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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.