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Finding the Fourth Proportional to 494.26, 683.31 and 432.70

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Solution

The fourth proportional to 494.26, 683.31 and 432.70 is: 598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.26 : 683.31 = 432.70 : x
  2. Step 2: Convert to fraction form
    494.26/683.31 = 432.70/x
  3. Step 3: Cross multiply
    494.26x = 683.31 × 432.70
  4. Step 4: Simplify right side
    494.26x = 295,668.24
  5. Step 5: Solve for x
    x = 295,668.24/494.26
  6. Step 6: Final answer
    x = 598.20

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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.