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Finding the Fourth Proportional to 876.56, 1,314.24 and 486.76

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Solution

The fourth proportional to 876.56, 1,314.24 and 486.76 is: 729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.56 : 1,314.24 = 486.76 : x
  2. Step 2: Convert to fraction form
    876.56/1,314.24 = 486.76/x
  3. Step 3: Cross multiply
    876.56x = 1,314.24 × 486.76
  4. Step 4: Simplify right side
    876.56x = 639,719.46
  5. Step 5: Solve for x
    x = 639,719.46/876.56
  6. Step 6: Final answer
    x = 729.81

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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.