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Finding the Fourth Proportional to 772.78, 1,158.92 and 407.36

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Solution

The fourth proportional to 772.78, 1,158.92 and 407.36 is: 610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.78 : 1,158.92 = 407.36 : x
  2. Step 2: Convert to fraction form
    772.78/1,158.92 = 407.36/x
  3. Step 3: Cross multiply
    772.78x = 1,158.92 × 407.36
  4. Step 4: Simplify right side
    772.78x = 472,097.65
  5. Step 5: Solve for x
    x = 472,097.65/772.78
  6. Step 6: Final answer
    x = 610.91

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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.