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Finding the Fourth Proportional to 876.38, 1,311.74 and 480.50

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Solution

The fourth proportional to 876.38, 1,311.74 and 480.50 is: 719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.38 : 1,311.74 = 480.50 : x
  2. Step 2: Convert to fraction form
    876.38/1,311.74 = 480.50/x
  3. Step 3: Cross multiply
    876.38x = 1,311.74 × 480.50
  4. Step 4: Simplify right side
    876.38x = 630,282.11
  5. Step 5: Solve for x
    x = 630,282.11/876.38
  6. Step 6: Final answer
    x = 719.19

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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.