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Finding the Fourth Proportional to 876.81, 1,312.46 and 745.59

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Solution

The fourth proportional to 876.81, 1,312.46 and 745.59 is: 1,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.81 : 1,312.46 = 745.59 : x
  2. Step 2: Convert to fraction form
    876.81/1,312.46 = 745.59/x
  3. Step 3: Cross multiply
    876.81x = 1,312.46 × 745.59
  4. Step 4: Simplify right side
    876.81x = 978,557.05
  5. Step 5: Solve for x
    x = 978,557.05/876.81
  6. Step 6: Final answer
    x = 1,116.04

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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.