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Finding the Fourth Proportional to 498.91, 688.84 and 446.29

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Solution

The fourth proportional to 498.91, 688.84 and 446.29 is: 616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.91 : 688.84 = 446.29 : x
  2. Step 2: Convert to fraction form
    498.91/688.84 = 446.29/x
  3. Step 3: Cross multiply
    498.91x = 688.84 × 446.29
  4. Step 4: Simplify right side
    498.91x = 307,423.44
  5. Step 5: Solve for x
    x = 307,423.44/498.91
  6. Step 6: Final answer
    x = 616.19

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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.