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Finding the Fourth Proportional to 495.10, 681.78 and 424.66

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Solution

The fourth proportional to 495.10, 681.78 and 424.66 is: 584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.10 : 681.78 = 424.66 : x
  2. Step 2: Convert to fraction form
    495.10/681.78 = 424.66/x
  3. Step 3: Cross multiply
    495.10x = 681.78 × 424.66
  4. Step 4: Simplify right side
    495.10x = 289,524.69
  5. Step 5: Solve for x
    x = 289,524.69/495.10
  6. Step 6: Final answer
    x = 584.78

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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.