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Finding the Fourth Proportional to 498.28, 687.65 and 341.24

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Solution

The fourth proportional to 498.28, 687.65 and 341.24 is: 470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.28 : 687.65 = 341.24 : x
  2. Step 2: Convert to fraction form
    498.28/687.65 = 341.24/x
  3. Step 3: Cross multiply
    498.28x = 687.65 × 341.24
  4. Step 4: Simplify right side
    498.28x = 234,652.41
  5. Step 5: Solve for x
    x = 234,652.41/498.28
  6. Step 6: Final answer
    x = 470.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.