Home / 1,380.31-2,071.08-560.19

Finding the Fourth Proportional to 1,380.31, 2,071.08 and 560.19

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Solution

The fourth proportional to 1,380.31, 2,071.08 and 560.19 is: 840.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.31 : 2,071.08 = 560.19 : x
  2. Step 2: Convert to fraction form
    1,380.31/2,071.08 = 560.19/x
  3. Step 3: Cross multiply
    1,380.31x = 2,071.08 × 560.19
  4. Step 4: Simplify right side
    1,380.31x = 1,160,198.31
  5. Step 5: Solve for x
    x = 1,160,198.31/1,380.31
  6. Step 6: Final answer
    x = 840.53

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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.