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Finding the Fourth Proportional to 853.17, 1,177.08 and 480.09

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Solution

The fourth proportional to 853.17, 1,177.08 and 480.09 is: 662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.17 : 1,177.08 = 480.09 : x
  2. Step 2: Convert to fraction form
    853.17/1,177.08 = 480.09/x
  3. Step 3: Cross multiply
    853.17x = 1,177.08 × 480.09
  4. Step 4: Simplify right side
    853.17x = 565,104.34
  5. Step 5: Solve for x
    x = 565,104.34/853.17
  6. Step 6: Final answer
    x = 662.36

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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.