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Finding the Fourth Proportional to 868.51, 1,305.20 and 712.99

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Solution

The fourth proportional to 868.51, 1,305.20 and 712.99 is: 1,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.51 : 1,305.20 = 712.99 : x
  2. Step 2: Convert to fraction form
    868.51/1,305.20 = 712.99/x
  3. Step 3: Cross multiply
    868.51x = 1,305.20 × 712.99
  4. Step 4: Simplify right side
    868.51x = 930,594.55
  5. Step 5: Solve for x
    x = 930,594.55/868.51
  6. Step 6: Final answer
    x = 1,071.48

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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.