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Finding the Fourth Proportional to 1,548.78, 2,320.08 and 932.15

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Solution

The fourth proportional to 1,548.78, 2,320.08 and 932.15 is: 1,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.78 : 2,320.08 = 932.15 : x
  2. Step 2: Convert to fraction form
    1,548.78/2,320.08 = 932.15/x
  3. Step 3: Cross multiply
    1,548.78x = 2,320.08 × 932.15
  4. Step 4: Simplify right side
    1,548.78x = 2,162,662.57
  5. Step 5: Solve for x
    x = 2,162,662.57/1,548.78
  6. Step 6: Final answer
    x = 1,396.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.