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Finding the Fourth Proportional to 1,243.19, 1,864.97 and 377.57

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Solution

The fourth proportional to 1,243.19, 1,864.97 and 377.57 is: 566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.19 : 1,864.97 = 377.57 : x
  2. Step 2: Convert to fraction form
    1,243.19/1,864.97 = 377.57/x
  3. Step 3: Cross multiply
    1,243.19x = 1,864.97 × 377.57
  4. Step 4: Simplify right side
    1,243.19x = 704,145.51
  5. Step 5: Solve for x
    x = 704,145.51/1,243.19
  6. Step 6: Final answer
    x = 566.40

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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.