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Finding the Fourth Proportional to 1,384.80, 2,077.29 and 519.06

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Solution

The fourth proportional to 1,384.80, 2,077.29 and 519.06 is: 778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.80 : 2,077.29 = 519.06 : x
  2. Step 2: Convert to fraction form
    1,384.80/2,077.29 = 519.06/x
  3. Step 3: Cross multiply
    1,384.80x = 2,077.29 × 519.06
  4. Step 4: Simplify right side
    1,384.80x = 1,078,238.15
  5. Step 5: Solve for x
    x = 1,078,238.15/1,384.80
  6. Step 6: Final answer
    x = 778.62

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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.