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Finding the Fourth Proportional to 498.59, 746.31 and 322.65

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Solution

The fourth proportional to 498.59, 746.31 and 322.65 is: 482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.59 : 746.31 = 322.65 : x
  2. Step 2: Convert to fraction form
    498.59/746.31 = 322.65/x
  3. Step 3: Cross multiply
    498.59x = 746.31 × 322.65
  4. Step 4: Simplify right side
    498.59x = 240,796.92
  5. Step 5: Solve for x
    x = 240,796.92/498.59
  6. Step 6: Final answer
    x = 482.96

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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.