Home / 1,116.56-1,668.69-824.68

Finding the Fourth Proportional to 1,116.56, 1,668.69 and 824.68

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Solution

The fourth proportional to 1,116.56, 1,668.69 and 824.68 is: 1,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.56 : 1,668.69 = 824.68 : x
  2. Step 2: Convert to fraction form
    1,116.56/1,668.69 = 824.68/x
  3. Step 3: Cross multiply
    1,116.56x = 1,668.69 × 824.68
  4. Step 4: Simplify right side
    1,116.56x = 1,376,135.27
  5. Step 5: Solve for x
    x = 1,376,135.27/1,116.56
  6. Step 6: Final answer
    x = 1,232.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.