Home / 1,178.28-1,766.27-561.82

Finding the Fourth Proportional to 1,178.28, 1,766.27 and 561.82

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Solution

The fourth proportional to 1,178.28, 1,766.27 and 561.82 is: 842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.28 : 1,766.27 = 561.82 : x
  2. Step 2: Convert to fraction form
    1,178.28/1,766.27 = 561.82/x
  3. Step 3: Cross multiply
    1,178.28x = 1,766.27 × 561.82
  4. Step 4: Simplify right side
    1,178.28x = 992,325.81
  5. Step 5: Solve for x
    x = 992,325.81/1,178.28
  6. Step 6: Final answer
    x = 842.18

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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.