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Finding the Fourth Proportional to 498.90, 743.95 and 464.27

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Solution

The fourth proportional to 498.90, 743.95 and 464.27 is: 692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.90 : 743.95 = 464.27 : x
  2. Step 2: Convert to fraction form
    498.90/743.95 = 464.27/x
  3. Step 3: Cross multiply
    498.90x = 743.95 × 464.27
  4. Step 4: Simplify right side
    498.90x = 345,390.65
  5. Step 5: Solve for x
    x = 345,390.65/498.90
  6. Step 6: Final answer
    x = 692.31

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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.