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Finding the Fourth Proportional to 1,341.39, 2,011.69 and 519.47

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Solution

The fourth proportional to 1,341.39, 2,011.69 and 519.47 is: 779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.39 : 2,011.69 = 519.47 : x
  2. Step 2: Convert to fraction form
    1,341.39/2,011.69 = 519.47/x
  3. Step 3: Cross multiply
    1,341.39x = 2,011.69 × 519.47
  4. Step 4: Simplify right side
    1,341.39x = 1,045,012.60
  5. Step 5: Solve for x
    x = 1,045,012.60/1,341.39
  6. Step 6: Final answer
    x = 779.05

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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.