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Finding the Fourth Proportional to 876.49, 1,311.64 and 644.81

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Solution

The fourth proportional to 876.49, 1,311.64 and 644.81 is: 964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.49 : 1,311.64 = 644.81 : x
  2. Step 2: Convert to fraction form
    876.49/1,311.64 = 644.81/x
  3. Step 3: Cross multiply
    876.49x = 1,311.64 × 644.81
  4. Step 4: Simplify right side
    876.49x = 845,750.42
  5. Step 5: Solve for x
    x = 845,750.42/876.49
  6. Step 6: Final answer
    x = 964.93

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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.