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Finding the Fourth Proportional to 1,296.01, 1,788.77 and 853.95

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Solution

The fourth proportional to 1,296.01, 1,788.77 and 853.95 is: 1,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.01 : 1,788.77 = 853.95 : x
  2. Step 2: Convert to fraction form
    1,296.01/1,788.77 = 853.95/x
  3. Step 3: Cross multiply
    1,296.01x = 1,788.77 × 853.95
  4. Step 4: Simplify right side
    1,296.01x = 1,527,520.14
  5. Step 5: Solve for x
    x = 1,527,520.14/1,296.01
  6. Step 6: Final answer
    x = 1,178.63

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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.