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Finding the Fourth Proportional to 1,200.50, 1,655.76 and 758.24

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Solution

The fourth proportional to 1,200.50, 1,655.76 and 758.24 is: 1,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.50 : 1,655.76 = 758.24 : x
  2. Step 2: Convert to fraction form
    1,200.50/1,655.76 = 758.24/x
  3. Step 3: Cross multiply
    1,200.50x = 1,655.76 × 758.24
  4. Step 4: Simplify right side
    1,200.50x = 1,255,463.46
  5. Step 5: Solve for x
    x = 1,255,463.46/1,200.50
  6. Step 6: Final answer
    x = 1,045.78

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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.