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Finding the Fourth Proportional to 866.90, 1,299.47 and 749.30

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Solution

The fourth proportional to 866.90, 1,299.47 and 749.30 is: 1,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.90 : 1,299.47 = 749.30 : x
  2. Step 2: Convert to fraction form
    866.90/1,299.47 = 749.30/x
  3. Step 3: Cross multiply
    866.90x = 1,299.47 × 749.30
  4. Step 4: Simplify right side
    866.90x = 973,682.63
  5. Step 5: Solve for x
    x = 973,682.63/866.90
  6. Step 6: Final answer
    x = 1,123.18

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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.