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Finding the Fourth Proportional to 498.15, 747.78 and 446.41

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Solution

The fourth proportional to 498.15, 747.78 and 446.41 is: 670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.15 : 747.78 = 446.41 : x
  2. Step 2: Convert to fraction form
    498.15/747.78 = 446.41/x
  3. Step 3: Cross multiply
    498.15x = 747.78 × 446.41
  4. Step 4: Simplify right side
    498.15x = 333,818.24
  5. Step 5: Solve for x
    x = 333,818.24/498.15
  6. Step 6: Final answer
    x = 670.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.