Home / 1,315.28-1,971.66-584.78

Finding the Fourth Proportional to 1,315.28, 1,971.66 and 584.78

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Solution

The fourth proportional to 1,315.28, 1,971.66 and 584.78 is: 876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.28 : 1,971.66 = 584.78 : x
  2. Step 2: Convert to fraction form
    1,315.28/1,971.66 = 584.78/x
  3. Step 3: Cross multiply
    1,315.28x = 1,971.66 × 584.78
  4. Step 4: Simplify right side
    1,315.28x = 1,152,987.33
  5. Step 5: Solve for x
    x = 1,152,987.33/1,315.28
  6. Step 6: Final answer
    x = 876.61

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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.