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Finding the Fourth Proportional to 1,141.38, 1,574.94 and 643.95

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Solution

The fourth proportional to 1,141.38, 1,574.94 and 643.95 is: 888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.38 : 1,574.94 = 643.95 : x
  2. Step 2: Convert to fraction form
    1,141.38/1,574.94 = 643.95/x
  3. Step 3: Cross multiply
    1,141.38x = 1,574.94 × 643.95
  4. Step 4: Simplify right side
    1,141.38x = 1,014,182.61
  5. Step 5: Solve for x
    x = 1,014,182.61/1,141.38
  6. Step 6: Final answer
    x = 888.56

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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.