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Finding the Fourth Proportional to 1,200.26, 1,798.07 and 788.15

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Solution

The fourth proportional to 1,200.26, 1,798.07 and 788.15 is: 1,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.26 : 1,798.07 = 788.15 : x
  2. Step 2: Convert to fraction form
    1,200.26/1,798.07 = 788.15/x
  3. Step 3: Cross multiply
    1,200.26x = 1,798.07 × 788.15
  4. Step 4: Simplify right side
    1,200.26x = 1,417,144.93
  5. Step 5: Solve for x
    x = 1,417,144.93/1,200.26
  6. Step 6: Final answer
    x = 1,180.70

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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.