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Finding the Fourth Proportional to 1,027.12, 1,532.66 and 916.67

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Solution

The fourth proportional to 1,027.12, 1,532.66 and 916.67 is: 1,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.12 : 1,532.66 = 916.67 : x
  2. Step 2: Convert to fraction form
    1,027.12/1,532.66 = 916.67/x
  3. Step 3: Cross multiply
    1,027.12x = 1,532.66 × 916.67
  4. Step 4: Simplify right side
    1,027.12x = 1,404,943.44
  5. Step 5: Solve for x
    x = 1,404,943.44/1,027.12
  6. Step 6: Final answer
    x = 1,367.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.