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Finding the Fourth Proportional to 1,901.43, 2,852.25 and 514.77

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Solution

The fourth proportional to 1,901.43, 2,852.25 and 514.77 is: 772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.43 : 2,852.25 = 514.77 : x
  2. Step 2: Convert to fraction form
    1,901.43/2,852.25 = 514.77/x
  3. Step 3: Cross multiply
    1,901.43x = 2,852.25 × 514.77
  4. Step 4: Simplify right side
    1,901.43x = 1,468,252.73
  5. Step 5: Solve for x
    x = 1,468,252.73/1,901.43
  6. Step 6: Final answer
    x = 772.18

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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.