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Finding the Fourth Proportional to 785.99, 1,180.25 and 648.74

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Solution

The fourth proportional to 785.99, 1,180.25 and 648.74 is: 974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.99 : 1,180.25 = 648.74 : x
  2. Step 2: Convert to fraction form
    785.99/1,180.25 = 648.74/x
  3. Step 3: Cross multiply
    785.99x = 1,180.25 × 648.74
  4. Step 4: Simplify right side
    785.99x = 765,675.39
  5. Step 5: Solve for x
    x = 765,675.39/785.99
  6. Step 6: Final answer
    x = 974.15

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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.