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Finding the Fourth Proportional to 1,141.23, 1,574.90 and 643.87

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Solution

The fourth proportional to 1,141.23, 1,574.90 and 643.87 is: 888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.23 : 1,574.90 = 643.87 : x
  2. Step 2: Convert to fraction form
    1,141.23/1,574.90 = 643.87/x
  3. Step 3: Cross multiply
    1,141.23x = 1,574.90 × 643.87
  4. Step 4: Simplify right side
    1,141.23x = 1,014,023.71
  5. Step 5: Solve for x
    x = 1,014,023.71/1,141.23
  6. Step 6: Final answer
    x = 888.54

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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.