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Finding the Fourth Proportional to 853.75, 1,177.54 and 588.27

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Solution

The fourth proportional to 853.75, 1,177.54 and 588.27 is: 811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.75 : 1,177.54 = 588.27 : x
  2. Step 2: Convert to fraction form
    853.75/1,177.54 = 588.27/x
  3. Step 3: Cross multiply
    853.75x = 1,177.54 × 588.27
  4. Step 4: Simplify right side
    853.75x = 692,716.61
  5. Step 5: Solve for x
    x = 692,716.61/853.75
  6. Step 6: Final answer
    x = 811.38

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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.