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Finding the Fourth Proportional to 498.25, 742.76 and 490.35

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Solution

The fourth proportional to 498.25, 742.76 and 490.35 is: 730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.25 : 742.76 = 490.35 : x
  2. Step 2: Convert to fraction form
    498.25/742.76 = 490.35/x
  3. Step 3: Cross multiply
    498.25x = 742.76 × 490.35
  4. Step 4: Simplify right side
    498.25x = 364,209.91
  5. Step 5: Solve for x
    x = 364,209.91/498.25
  6. Step 6: Final answer
    x = 730.99

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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.