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Finding the Fourth Proportional to 853.55, 1,180.20 and 814.13

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Solution

The fourth proportional to 853.55, 1,180.20 and 814.13 is: 1,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.55 : 1,180.20 = 814.13 : x
  2. Step 2: Convert to fraction form
    853.55/1,180.20 = 814.13/x
  3. Step 3: Cross multiply
    853.55x = 1,180.20 × 814.13
  4. Step 4: Simplify right side
    853.55x = 960,830.33
  5. Step 5: Solve for x
    x = 960,830.33/853.55
  6. Step 6: Final answer
    x = 1,125.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.