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Finding the Fourth Proportional to 1,077.80, 1,616.78 and 522.34

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Solution

The fourth proportional to 1,077.80, 1,616.78 and 522.34 is: 783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.80 : 1,616.78 = 522.34 : x
  2. Step 2: Convert to fraction form
    1,077.80/1,616.78 = 522.34/x
  3. Step 3: Cross multiply
    1,077.80x = 1,616.78 × 522.34
  4. Step 4: Simplify right side
    1,077.80x = 844,508.87
  5. Step 5: Solve for x
    x = 844,508.87/1,077.80
  6. Step 6: Final answer
    x = 783.55

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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.