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Finding the Fourth Proportional to 853.87, 1,177.61 and 517.69

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Solution

The fourth proportional to 853.87, 1,177.61 and 517.69 is: 713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.87 : 1,177.61 = 517.69 : x
  2. Step 2: Convert to fraction form
    853.87/1,177.61 = 517.69/x
  3. Step 3: Cross multiply
    853.87x = 1,177.61 × 517.69
  4. Step 4: Simplify right side
    853.87x = 609,637.26
  5. Step 5: Solve for x
    x = 609,637.26/853.87
  6. Step 6: Final answer
    x = 713.97

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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.