Home / 1,542.34-2,311.88-719.92

Finding the Fourth Proportional to 1,542.34, 2,311.88 and 719.92

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Solution

The fourth proportional to 1,542.34, 2,311.88 and 719.92 is: 1,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.34 : 2,311.88 = 719.92 : x
  2. Step 2: Convert to fraction form
    1,542.34/2,311.88 = 719.92/x
  3. Step 3: Cross multiply
    1,542.34x = 2,311.88 × 719.92
  4. Step 4: Simplify right side
    1,542.34x = 1,664,368.65
  5. Step 5: Solve for x
    x = 1,664,368.65/1,542.34
  6. Step 6: Final answer
    x = 1,079.12

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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.