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Finding the Fourth Proportional to 685.97, 1,029.00 and 253.13

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Solution

The fourth proportional to 685.97, 1,029.00 and 253.13 is: 379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.97 : 1,029.00 = 253.13 : x
  2. Step 2: Convert to fraction form
    685.97/1,029.00 = 253.13/x
  3. Step 3: Cross multiply
    685.97x = 1,029.00 × 253.13
  4. Step 4: Simplify right side
    685.97x = 260,466.57
  5. Step 5: Solve for x
    x = 260,466.57/685.97
  6. Step 6: Final answer
    x = 379.71

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.