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Finding the Fourth Proportional to 853.84, 1,177.36 and 633.20

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Solution

The fourth proportional to 853.84, 1,177.36 and 633.20 is: 873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.84 : 1,177.36 = 633.20 : x
  2. Step 2: Convert to fraction form
    853.84/1,177.36 = 633.20/x
  3. Step 3: Cross multiply
    853.84x = 1,177.36 × 633.20
  4. Step 4: Simplify right side
    853.84x = 745,504.35
  5. Step 5: Solve for x
    x = 745,504.35/853.84
  6. Step 6: Final answer
    x = 873.12

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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.