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Finding the Fourth Proportional to 498.15, 743.18 and 446.18

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Solution

The fourth proportional to 498.15, 743.18 and 446.18 is: 665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.15 : 743.18 = 446.18 : x
  2. Step 2: Convert to fraction form
    498.15/743.18 = 446.18/x
  3. Step 3: Cross multiply
    498.15x = 743.18 × 446.18
  4. Step 4: Simplify right side
    498.15x = 331,586.11
  5. Step 5: Solve for x
    x = 331,586.11/498.15
  6. Step 6: Final answer
    x = 665.64

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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.