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Finding the Fourth Proportional to 867.71, 1,300.51 and 538.14

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Solution

The fourth proportional to 867.71, 1,300.51 and 538.14 is: 806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.71 : 1,300.51 = 538.14 : x
  2. Step 2: Convert to fraction form
    867.71/1,300.51 = 538.14/x
  3. Step 3: Cross multiply
    867.71x = 1,300.51 × 538.14
  4. Step 4: Simplify right side
    867.71x = 699,858.97
  5. Step 5: Solve for x
    x = 699,858.97/867.71
  6. Step 6: Final answer
    x = 806.56

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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.