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Finding the Fourth Proportional to 779.74, 1,076.20 and 448.39

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Solution

The fourth proportional to 779.74, 1,076.20 and 448.39 is: 618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.74 : 1,076.20 = 448.39 : x
  2. Step 2: Convert to fraction form
    779.74/1,076.20 = 448.39/x
  3. Step 3: Cross multiply
    779.74x = 1,076.20 × 448.39
  4. Step 4: Simplify right side
    779.74x = 482,557.32
  5. Step 5: Solve for x
    x = 482,557.32/779.74
  6. Step 6: Final answer
    x = 618.87

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1.5x scale

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.