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Finding the Fourth Proportional to 772.78, 1,065.99 and 477.82

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Solution

The fourth proportional to 772.78, 1,065.99 and 477.82 is: 659.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.78 : 1,065.99 = 477.82 : x
  2. Step 2: Convert to fraction form
    772.78/1,065.99 = 477.82/x
  3. Step 3: Cross multiply
    772.78x = 1,065.99 × 477.82
  4. Step 4: Simplify right side
    772.78x = 509,351.34
  5. Step 5: Solve for x
    x = 509,351.34/772.78
  6. Step 6: Final answer
    x = 659.12

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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.