Home / 1,141.16-1,711.80-319.55

Finding the Fourth Proportional to 1,141.16, 1,711.80 and 319.55

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Solution

The fourth proportional to 1,141.16, 1,711.80 and 319.55 is: 479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.16 : 1,711.80 = 319.55 : x
  2. Step 2: Convert to fraction form
    1,141.16/1,711.80 = 319.55/x
  3. Step 3: Cross multiply
    1,141.16x = 1,711.80 × 319.55
  4. Step 4: Simplify right side
    1,141.16x = 546,997.13
  5. Step 5: Solve for x
    x = 546,997.13/1,141.16
  6. Step 6: Final answer
    x = 479.34

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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.