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Finding the Fourth Proportional to 494.46, 683.68 and 432.96

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Solution

The fourth proportional to 494.46, 683.68 and 432.96 is: 598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.46 : 683.68 = 432.96 : x
  2. Step 2: Convert to fraction form
    494.46/683.68 = 432.96/x
  3. Step 3: Cross multiply
    494.46x = 683.68 × 432.96
  4. Step 4: Simplify right side
    494.46x = 296,006.09
  5. Step 5: Solve for x
    x = 296,006.09/494.46
  6. Step 6: Final answer
    x = 598.65

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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.