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Finding the Fourth Proportional to 853.24, 1,177.50 and 814.36

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Solution

The fourth proportional to 853.24, 1,177.50 and 814.36 is: 1,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.24 : 1,177.50 = 814.36 : x
  2. Step 2: Convert to fraction form
    853.24/1,177.50 = 814.36/x
  3. Step 3: Cross multiply
    853.24x = 1,177.50 × 814.36
  4. Step 4: Simplify right side
    853.24x = 958,908.90
  5. Step 5: Solve for x
    x = 958,908.90/853.24
  6. Step 6: Final answer
    x = 1,123.84

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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.