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Finding the Fourth Proportional to 779.75, 1,076.02 and 448.17

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Solution

The fourth proportional to 779.75, 1,076.02 and 448.17 is: 618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.75 : 1,076.02 = 448.17 : x
  2. Step 2: Convert to fraction form
    779.75/1,076.02 = 448.17/x
  3. Step 3: Cross multiply
    779.75x = 1,076.02 × 448.17
  4. Step 4: Simplify right side
    779.75x = 482,239.88
  5. Step 5: Solve for x
    x = 482,239.88/779.75
  6. Step 6: Final answer
    x = 618.45

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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.