Home / 1,114.30-1,668.71-766.66

Finding the Fourth Proportional to 1,114.30, 1,668.71 and 766.66

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Solution

The fourth proportional to 1,114.30, 1,668.71 and 766.66 is: 1,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.30 : 1,668.71 = 766.66 : x
  2. Step 2: Convert to fraction form
    1,114.30/1,668.71 = 766.66/x
  3. Step 3: Cross multiply
    1,114.30x = 1,668.71 × 766.66
  4. Step 4: Simplify right side
    1,114.30x = 1,279,330.95
  5. Step 5: Solve for x
    x = 1,279,330.95/1,114.30
  6. Step 6: Final answer
    x = 1,148.11

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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.