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Finding the Fourth Proportional to 1,143.10, 1,577.49 and 619.13

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Solution

The fourth proportional to 1,143.10, 1,577.49 and 619.13 is: 854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.10 : 1,577.49 = 619.13 : x
  2. Step 2: Convert to fraction form
    1,143.10/1,577.49 = 619.13/x
  3. Step 3: Cross multiply
    1,143.10x = 1,577.49 × 619.13
  4. Step 4: Simplify right side
    1,143.10x = 976,671.38
  5. Step 5: Solve for x
    x = 976,671.38/1,143.10
  6. Step 6: Final answer
    x = 854.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.