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Finding the Fourth Proportional to 1,265.67, 1,897.56 and 853.65

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Solution

The fourth proportional to 1,265.67, 1,897.56 and 853.65 is: 1,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.67 : 1,897.56 = 853.65 : x
  2. Step 2: Convert to fraction form
    1,265.67/1,897.56 = 853.65/x
  3. Step 3: Cross multiply
    1,265.67x = 1,897.56 × 853.65
  4. Step 4: Simplify right side
    1,265.67x = 1,619,852.09
  5. Step 5: Solve for x
    x = 1,619,852.09/1,265.67
  6. Step 6: Final answer
    x = 1,279.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.