Home / 1,311.31-1,966.44-580.39

Finding the Fourth Proportional to 1,311.31, 1,966.44 and 580.39

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Solution

The fourth proportional to 1,311.31, 1,966.44 and 580.39 is: 870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.31 : 1,966.44 = 580.39 : x
  2. Step 2: Convert to fraction form
    1,311.31/1,966.44 = 580.39/x
  3. Step 3: Cross multiply
    1,311.31x = 1,966.44 × 580.39
  4. Step 4: Simplify right side
    1,311.31x = 1,141,302.11
  5. Step 5: Solve for x
    x = 1,141,302.11/1,311.31
  6. Step 6: Final answer
    x = 870.35

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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.