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Finding the Fourth Proportional to 774.06, 1,065.48 and 648.33

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Solution

The fourth proportional to 774.06, 1,065.48 and 648.33 is: 892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.06 : 1,065.48 = 648.33 : x
  2. Step 2: Convert to fraction form
    774.06/1,065.48 = 648.33/x
  3. Step 3: Cross multiply
    774.06x = 1,065.48 × 648.33
  4. Step 4: Simplify right side
    774.06x = 690,782.65
  5. Step 5: Solve for x
    x = 690,782.65/774.06
  6. Step 6: Final answer
    x = 892.41

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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.