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Finding the Fourth Proportional to 778.54, 1,072.90 and 557.10

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Solution

The fourth proportional to 778.54, 1,072.90 and 557.10 is: 767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.54 : 1,072.90 = 557.10 : x
  2. Step 2: Convert to fraction form
    778.54/1,072.90 = 557.10/x
  3. Step 3: Cross multiply
    778.54x = 1,072.90 × 557.10
  4. Step 4: Simplify right side
    778.54x = 597,712.59
  5. Step 5: Solve for x
    x = 597,712.59/778.54
  6. Step 6: Final answer
    x = 767.74

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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.