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Finding the Fourth Proportional to 779.20, 1,074 and 557.80

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Solution

The fourth proportional to 779.20, 1,074 and 557.80 is: 768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.20 : 1,074 = 557.80 : x
  2. Step 2: Convert to fraction form
    779.20/1,074 = 557.80/x
  3. Step 3: Cross multiply
    779.20x = 1,074 × 557.80
  4. Step 4: Simplify right side
    779.20x = 599,077.20
  5. Step 5: Solve for x
    x = 599,077.20/779.20
  6. Step 6: Final answer
    x = 768.84

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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.