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Finding the Fourth Proportional to 853.68, 1,177.44 and 521.83

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Solution

The fourth proportional to 853.68, 1,177.44 and 521.83 is: 719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.68 : 1,177.44 = 521.83 : x
  2. Step 2: Convert to fraction form
    853.68/1,177.44 = 521.83/x
  3. Step 3: Cross multiply
    853.68x = 1,177.44 × 521.83
  4. Step 4: Simplify right side
    853.68x = 614,423.52
  5. Step 5: Solve for x
    x = 614,423.52/853.68
  6. Step 6: Final answer
    x = 719.74

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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.