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Finding the Fourth Proportional to 772.46, 1,065.15 and 563.33

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Solution

The fourth proportional to 772.46, 1,065.15 and 563.33 is: 776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.46 : 1,065.15 = 563.33 : x
  2. Step 2: Convert to fraction form
    772.46/1,065.15 = 563.33/x
  3. Step 3: Cross multiply
    772.46x = 1,065.15 × 563.33
  4. Step 4: Simplify right side
    772.46x = 600,033.61
  5. Step 5: Solve for x
    x = 600,033.61/772.46
  6. Step 6: Final answer
    x = 776.78

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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.