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Finding the Fourth Proportional to 1,238.43, 1,857.84 and 621.51

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Solution

The fourth proportional to 1,238.43, 1,857.84 and 621.51 is: 932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.43 : 1,857.84 = 621.51 : x
  2. Step 2: Convert to fraction form
    1,238.43/1,857.84 = 621.51/x
  3. Step 3: Cross multiply
    1,238.43x = 1,857.84 × 621.51
  4. Step 4: Simplify right side
    1,238.43x = 1,154,666.14
  5. Step 5: Solve for x
    x = 1,154,666.14/1,238.43
  6. Step 6: Final answer
    x = 932.36

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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.