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Finding the Fourth Proportional to 1,229.40, 1,696.08 and 705.12

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Solution

The fourth proportional to 1,229.40, 1,696.08 and 705.12 is: 972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.40 : 1,696.08 = 705.12 : x
  2. Step 2: Convert to fraction form
    1,229.40/1,696.08 = 705.12/x
  3. Step 3: Cross multiply
    1,229.40x = 1,696.08 × 705.12
  4. Step 4: Simplify right side
    1,229.40x = 1,195,939.93
  5. Step 5: Solve for x
    x = 1,195,939.93/1,229.40
  6. Step 6: Final answer
    x = 972.78

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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.