Home / 1,317.95-1,976.91-537.78

Finding the Fourth Proportional to 1,317.95, 1,976.91 and 537.78

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Solution

The fourth proportional to 1,317.95, 1,976.91 and 537.78 is: 806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.95 : 1,976.91 = 537.78 : x
  2. Step 2: Convert to fraction form
    1,317.95/1,976.91 = 537.78/x
  3. Step 3: Cross multiply
    1,317.95x = 1,976.91 × 537.78
  4. Step 4: Simplify right side
    1,317.95x = 1,063,142.66
  5. Step 5: Solve for x
    x = 1,063,142.66/1,317.95
  6. Step 6: Final answer
    x = 806.67

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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.