Home / 1,178.76-1,766.84-562.16

Finding the Fourth Proportional to 1,178.76, 1,766.84 and 562.16

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Solution

The fourth proportional to 1,178.76, 1,766.84 and 562.16 is: 842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.76 : 1,766.84 = 562.16 : x
  2. Step 2: Convert to fraction form
    1,178.76/1,766.84 = 562.16/x
  3. Step 3: Cross multiply
    1,178.76x = 1,766.84 × 562.16
  4. Step 4: Simplify right side
    1,178.76x = 993,246.77
  5. Step 5: Solve for x
    x = 993,246.77/1,178.76
  6. Step 6: Final answer
    x = 842.62

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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.