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Finding the Fourth Proportional to 876.59, 1,313.97 and 437.37

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Solution

The fourth proportional to 876.59, 1,313.97 and 437.37 is: 655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.59 : 1,313.97 = 437.37 : x
  2. Step 2: Convert to fraction form
    876.59/1,313.97 = 437.37/x
  3. Step 3: Cross multiply
    876.59x = 1,313.97 × 437.37
  4. Step 4: Simplify right side
    876.59x = 574,691.06
  5. Step 5: Solve for x
    x = 574,691.06/876.59
  6. Step 6: Final answer
    x = 655.60

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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.