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Finding the Fourth Proportional to 853.72, 1,178.16 and 517.84

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Solution

The fourth proportional to 853.72, 1,178.16 and 517.84 is: 714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.72 : 1,178.16 = 517.84 : x
  2. Step 2: Convert to fraction form
    853.72/1,178.16 = 517.84/x
  3. Step 3: Cross multiply
    853.72x = 1,178.16 × 517.84
  4. Step 4: Simplify right side
    853.72x = 610,098.37
  5. Step 5: Solve for x
    x = 610,098.37/853.72
  6. Step 6: Final answer
    x = 714.64

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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.