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Finding the Fourth Proportional to 1,149.67, 1,586.69 and 757.50

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Solution

The fourth proportional to 1,149.67, 1,586.69 and 757.50 is: 1,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.67 : 1,586.69 = 757.50 : x
  2. Step 2: Convert to fraction form
    1,149.67/1,586.69 = 757.50/x
  3. Step 3: Cross multiply
    1,149.67x = 1,586.69 × 757.50
  4. Step 4: Simplify right side
    1,149.67x = 1,201,917.68
  5. Step 5: Solve for x
    x = 1,201,917.68/1,149.67
  6. Step 6: Final answer
    x = 1,045.45

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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.