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Finding the Fourth Proportional to 498.67, 742.74 and 472.65

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Solution

The fourth proportional to 498.67, 742.74 and 472.65 is: 703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.67 : 742.74 = 472.65 : x
  2. Step 2: Convert to fraction form
    498.67/742.74 = 472.65/x
  3. Step 3: Cross multiply
    498.67x = 742.74 × 472.65
  4. Step 4: Simplify right side
    498.67x = 351,056.06
  5. Step 5: Solve for x
    x = 351,056.06/498.67
  6. Step 6: Final answer
    x = 703.98

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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.