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Finding the Fourth Proportional to 876.49, 1,313 and 668.46

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Solution

The fourth proportional to 876.49, 1,313 and 668.46 is: 1,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.49 : 1,313 = 668.46 : x
  2. Step 2: Convert to fraction form
    876.49/1,313 = 668.46/x
  3. Step 3: Cross multiply
    876.49x = 1,313 × 668.46
  4. Step 4: Simplify right side
    876.49x = 877,687.98
  5. Step 5: Solve for x
    x = 877,687.98/876.49
  6. Step 6: Final answer
    x = 1,001.37

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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.