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Finding the Fourth Proportional to 876.38, 1,314.80 and 389.32

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Solution

The fourth proportional to 876.38, 1,314.80 and 389.32 is: 584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.38 : 1,314.80 = 389.32 : x
  2. Step 2: Convert to fraction form
    876.38/1,314.80 = 389.32/x
  3. Step 3: Cross multiply
    876.38x = 1,314.80 × 389.32
  4. Step 4: Simplify right side
    876.38x = 511,869.42
  5. Step 5: Solve for x
    x = 511,869.42/876.38
  6. Step 6: Final answer
    x = 584.08

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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.