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Finding the Fourth Proportional to 853.17, 1,178.06 and 554.57

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Solution

The fourth proportional to 853.17, 1,178.06 and 554.57 is: 765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.17 : 1,178.06 = 554.57 : x
  2. Step 2: Convert to fraction form
    853.17/1,178.06 = 554.57/x
  3. Step 3: Cross multiply
    853.17x = 1,178.06 × 554.57
  4. Step 4: Simplify right side
    853.17x = 653,316.58
  5. Step 5: Solve for x
    x = 653,316.58/853.17
  6. Step 6: Final answer
    x = 765.75

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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.