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Finding the Fourth Proportional to 876.58, 1,314.27 and 389.38

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Solution

The fourth proportional to 876.58, 1,314.27 and 389.38 is: 583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.58 : 1,314.27 = 389.38 : x
  2. Step 2: Convert to fraction form
    876.58/1,314.27 = 389.38/x
  3. Step 3: Cross multiply
    876.58x = 1,314.27 × 389.38
  4. Step 4: Simplify right side
    876.58x = 511,750.45
  5. Step 5: Solve for x
    x = 511,750.45/876.58
  6. Step 6: Final answer
    x = 583.80

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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.