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Finding the Fourth Proportional to 779.16, 1,168.60 and 388.76

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Solution

The fourth proportional to 779.16, 1,168.60 and 388.76 is: 583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.16 : 1,168.60 = 388.76 : x
  2. Step 2: Convert to fraction form
    779.16/1,168.60 = 388.76/x
  3. Step 3: Cross multiply
    779.16x = 1,168.60 × 388.76
  4. Step 4: Simplify right side
    779.16x = 454,304.94
  5. Step 5: Solve for x
    x = 454,304.94/779.16
  6. Step 6: Final answer
    x = 583.07

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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.