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Finding the Fourth Proportional to 876.60, 1,309.68 and 600.36

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Solution

The fourth proportional to 876.60, 1,309.68 and 600.36 is: 896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.60 : 1,309.68 = 600.36 : x
  2. Step 2: Convert to fraction form
    876.60/1,309.68 = 600.36/x
  3. Step 3: Cross multiply
    876.60x = 1,309.68 × 600.36
  4. Step 4: Simplify right side
    876.60x = 786,279.48
  5. Step 5: Solve for x
    x = 786,279.48/876.60
  6. Step 6: Final answer
    x = 896.96

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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.