Home / 1,140.85-1,711.14-319.18

Finding the Fourth Proportional to 1,140.85, 1,711.14 and 319.18

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Solution

The fourth proportional to 1,140.85, 1,711.14 and 319.18 is: 478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.85 : 1,711.14 = 319.18 : x
  2. Step 2: Convert to fraction form
    1,140.85/1,711.14 = 319.18/x
  3. Step 3: Cross multiply
    1,140.85x = 1,711.14 × 319.18
  4. Step 4: Simplify right side
    1,140.85x = 546,168.27
  5. Step 5: Solve for x
    x = 546,168.27/1,140.85
  6. Step 6: Final answer
    x = 478.74

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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.