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Finding the Fourth Proportional to 853.88, 1,178.36 and 517.77

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Solution

The fourth proportional to 853.88, 1,178.36 and 517.77 is: 714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.88 : 1,178.36 = 517.77 : x
  2. Step 2: Convert to fraction form
    853.88/1,178.36 = 517.77/x
  3. Step 3: Cross multiply
    853.88x = 1,178.36 × 517.77
  4. Step 4: Simplify right side
    853.88x = 610,116.87
  5. Step 5: Solve for x
    x = 610,116.87/853.88
  6. Step 6: Final answer
    x = 714.53

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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.