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Finding the Fourth Proportional to 772.10, 1,065.49 and 418.02

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Solution

The fourth proportional to 772.10, 1,065.49 and 418.02 is: 576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.10 : 1,065.49 = 418.02 : x
  2. Step 2: Convert to fraction form
    772.10/1,065.49 = 418.02/x
  3. Step 3: Cross multiply
    772.10x = 1,065.49 × 418.02
  4. Step 4: Simplify right side
    772.10x = 445,390.80
  5. Step 5: Solve for x
    x = 445,390.80/772.10
  6. Step 6: Final answer
    x = 576.86

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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.