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Finding the Fourth Proportional to 873.97, 1,311.10 and 463.46

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Solution

The fourth proportional to 873.97, 1,311.10 and 463.46 is: 695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.97 : 1,311.10 = 463.46 : x
  2. Step 2: Convert to fraction form
    873.97/1,311.10 = 463.46/x
  3. Step 3: Cross multiply
    873.97x = 1,311.10 × 463.46
  4. Step 4: Simplify right side
    873.97x = 607,644.53
  5. Step 5: Solve for x
    x = 607,644.53/873.97
  6. Step 6: Final answer
    x = 695.27

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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.