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Finding the Fourth Proportional to 867.87, 1,299.76 and 753.25

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Solution

The fourth proportional to 867.87, 1,299.76 and 753.25 is: 1,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.87 : 1,299.76 = 753.25 : x
  2. Step 2: Convert to fraction form
    867.87/1,299.76 = 753.25/x
  3. Step 3: Cross multiply
    867.87x = 1,299.76 × 753.25
  4. Step 4: Simplify right side
    867.87x = 979,044.22
  5. Step 5: Solve for x
    x = 979,044.22/867.87
  6. Step 6: Final answer
    x = 1,128.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.