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Finding the Fourth Proportional to 1,296.79, 1,785.19 and 1,172.08

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Solution

The fourth proportional to 1,296.79, 1,785.19 and 1,172.08 is: 1,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.79 : 1,785.19 = 1,172.08 : x
  2. Step 2: Convert to fraction form
    1,296.79/1,785.19 = 1,172.08/x
  3. Step 3: Cross multiply
    1,296.79x = 1,785.19 × 1,172.08
  4. Step 4: Simplify right side
    1,296.79x = 2,092,385.50
  5. Step 5: Solve for x
    x = 2,092,385.50/1,296.79
  6. Step 6: Final answer
    x = 1,613.51

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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.