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Finding the Fourth Proportional to 1,432.89, 1,977.01 and 873.18

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Solution

The fourth proportional to 1,432.89, 1,977.01 and 873.18 is: 1,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.89 : 1,977.01 = 873.18 : x
  2. Step 2: Convert to fraction form
    1,432.89/1,977.01 = 873.18/x
  3. Step 3: Cross multiply
    1,432.89x = 1,977.01 × 873.18
  4. Step 4: Simplify right side
    1,432.89x = 1,726,283.41
  5. Step 5: Solve for x
    x = 1,726,283.41/1,432.89
  6. Step 6: Final answer
    x = 1,204.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.