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Finding the Fourth Proportional to 1,342.02, 2,011.47 and 519.90

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Solution

The fourth proportional to 1,342.02, 2,011.47 and 519.90 is: 779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.02 : 2,011.47 = 519.90 : x
  2. Step 2: Convert to fraction form
    1,342.02/2,011.47 = 519.90/x
  3. Step 3: Cross multiply
    1,342.02x = 2,011.47 × 519.90
  4. Step 4: Simplify right side
    1,342.02x = 1,045,763.25
  5. Step 5: Solve for x
    x = 1,045,763.25/1,342.02
  6. Step 6: Final answer
    x = 779.25

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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.