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Finding the Fourth Proportional to 495.65, 685.29 and 487.85

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Solution

The fourth proportional to 495.65, 685.29 and 487.85 is: 674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.65 : 685.29 = 487.85 : x
  2. Step 2: Convert to fraction form
    495.65/685.29 = 487.85/x
  3. Step 3: Cross multiply
    495.65x = 685.29 × 487.85
  4. Step 4: Simplify right side
    495.65x = 334,318.73
  5. Step 5: Solve for x
    x = 334,318.73/495.65
  6. Step 6: Final answer
    x = 674.51

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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.