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Finding the Fourth Proportional to 1,385.54, 2,077.70 and 519.25

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Solution

The fourth proportional to 1,385.54, 2,077.70 and 519.25 is: 778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.54 : 2,077.70 = 519.25 : x
  2. Step 2: Convert to fraction form
    1,385.54/2,077.70 = 519.25/x
  3. Step 3: Cross multiply
    1,385.54x = 2,077.70 × 519.25
  4. Step 4: Simplify right side
    1,385.54x = 1,078,832.74
  5. Step 5: Solve for x
    x = 1,078,832.74/1,385.54
  6. Step 6: Final answer
    x = 778.64

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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.