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Finding the Fourth Proportional to 498.02, 743.47 and 465.08

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Solution

The fourth proportional to 498.02, 743.47 and 465.08 is: 694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.02 : 743.47 = 465.08 : x
  2. Step 2: Convert to fraction form
    498.02/743.47 = 465.08/x
  3. Step 3: Cross multiply
    498.02x = 743.47 × 465.08
  4. Step 4: Simplify right side
    498.02x = 345,773.03
  5. Step 5: Solve for x
    x = 345,773.03/498.02
  6. Step 6: Final answer
    x = 694.30

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Similar ratio
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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.