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Finding the Fourth Proportional to 1,223.16, 1,687.86 and 757.32

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Solution

The fourth proportional to 1,223.16, 1,687.86 and 757.32 is: 1,045.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.16 : 1,687.86 = 757.32 : x
  2. Step 2: Convert to fraction form
    1,223.16/1,687.86 = 757.32/x
  3. Step 3: Cross multiply
    1,223.16x = 1,687.86 × 757.32
  4. Step 4: Simplify right side
    1,223.16x = 1,278,250.14
  5. Step 5: Solve for x
    x = 1,278,250.14/1,223.16
  6. Step 6: Final answer
    x = 1,045.04

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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.