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Finding the Fourth Proportional to 1,143.01, 1,576.46 and 906.69

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Solution

The fourth proportional to 1,143.01, 1,576.46 and 906.69 is: 1,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.01 : 1,576.46 = 906.69 : x
  2. Step 2: Convert to fraction form
    1,143.01/1,576.46 = 906.69/x
  3. Step 3: Cross multiply
    1,143.01x = 1,576.46 × 906.69
  4. Step 4: Simplify right side
    1,143.01x = 1,429,368.70
  5. Step 5: Solve for x
    x = 1,429,368.70/1,143.01
  6. Step 6: Final answer
    x = 1,250.53

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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.