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Finding the Fourth Proportional to 486.46, 672.96 and 428.29

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Solution

The fourth proportional to 486.46, 672.96 and 428.29 is: 592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.46 : 672.96 = 428.29 : x
  2. Step 2: Convert to fraction form
    486.46/672.96 = 428.29/x
  3. Step 3: Cross multiply
    486.46x = 672.96 × 428.29
  4. Step 4: Simplify right side
    486.46x = 288,219.55
  5. Step 5: Solve for x
    x = 288,219.55/486.46
  6. Step 6: Final answer
    x = 592.49

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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.