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Finding the Fourth Proportional to 1,511.93, 2,269.13 and 781.73

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Solution

The fourth proportional to 1,511.93, 2,269.13 and 781.73 is: 1,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.93 : 2,269.13 = 781.73 : x
  2. Step 2: Convert to fraction form
    1,511.93/2,269.13 = 781.73/x
  3. Step 3: Cross multiply
    1,511.93x = 2,269.13 × 781.73
  4. Step 4: Simplify right side
    1,511.93x = 1,773,846.99
  5. Step 5: Solve for x
    x = 1,773,846.99/1,511.93
  6. Step 6: Final answer
    x = 1,173.23

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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.