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Finding the Fourth Proportional to 1,251.82, 1,877.51 and 386.14

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Solution

The fourth proportional to 1,251.82, 1,877.51 and 386.14 is: 579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.82 : 1,877.51 = 386.14 : x
  2. Step 2: Convert to fraction form
    1,251.82/1,877.51 = 386.14/x
  3. Step 3: Cross multiply
    1,251.82x = 1,877.51 × 386.14
  4. Step 4: Simplify right side
    1,251.82x = 724,981.71
  5. Step 5: Solve for x
    x = 724,981.71/1,251.82
  6. Step 6: Final answer
    x = 579.14

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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.