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Finding the Fourth Proportional to 860.71, 1,291.47 and 818.46

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Solution

The fourth proportional to 860.71, 1,291.47 and 818.46 is: 1,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.71 : 1,291.47 = 818.46 : x
  2. Step 2: Convert to fraction form
    860.71/1,291.47 = 818.46/x
  3. Step 3: Cross multiply
    860.71x = 1,291.47 × 818.46
  4. Step 4: Simplify right side
    860.71x = 1,057,016.54
  5. Step 5: Solve for x
    x = 1,057,016.54/860.71
  6. Step 6: Final answer
    x = 1,228.08

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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.