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Finding the Fourth Proportional to 1,197.35, 1,651.80 and 865.25

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Solution

The fourth proportional to 1,197.35, 1,651.80 and 865.25 is: 1,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.35 : 1,651.80 = 865.25 : x
  2. Step 2: Convert to fraction form
    1,197.35/1,651.80 = 865.25/x
  3. Step 3: Cross multiply
    1,197.35x = 1,651.80 × 865.25
  4. Step 4: Simplify right side
    1,197.35x = 1,429,227.32
  5. Step 5: Solve for x
    x = 1,429,227.32/1,197.35
  6. Step 6: Final answer
    x = 1,193.66

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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.