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Finding the Fourth Proportional to 1,143.98, 1,713.57 and 948.51

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Solution

The fourth proportional to 1,143.98, 1,713.57 and 948.51 is: 1,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.98 : 1,713.57 = 948.51 : x
  2. Step 2: Convert to fraction form
    1,143.98/1,713.57 = 948.51/x
  3. Step 3: Cross multiply
    1,143.98x = 1,713.57 × 948.51
  4. Step 4: Simplify right side
    1,143.98x = 1,625,338.28
  5. Step 5: Solve for x
    x = 1,625,338.28/1,143.98
  6. Step 6: Final answer
    x = 1,420.78

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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.