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Finding the Fourth Proportional to 1,135.39, 1,703.34 and 519.19

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Solution

The fourth proportional to 1,135.39, 1,703.34 and 519.19 is: 778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.39 : 1,703.34 = 519.19 : x
  2. Step 2: Convert to fraction form
    1,135.39/1,703.34 = 519.19/x
  3. Step 3: Cross multiply
    1,135.39x = 1,703.34 × 519.19
  4. Step 4: Simplify right side
    1,135.39x = 884,357.09
  5. Step 5: Solve for x
    x = 884,357.09/1,135.39
  6. Step 6: Final answer
    x = 778.90

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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.