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Finding the Fourth Proportional to 856.69, 1,289.57 and 731.41

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Solution

The fourth proportional to 856.69, 1,289.57 and 731.41 is: 1,100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.69 : 1,289.57 = 731.41 : x
  2. Step 2: Convert to fraction form
    856.69/1,289.57 = 731.41/x
  3. Step 3: Cross multiply
    856.69x = 1,289.57 × 731.41
  4. Step 4: Simplify right side
    856.69x = 943,204.39
  5. Step 5: Solve for x
    x = 943,204.39/856.69
  6. Step 6: Final answer
    x = 1,100.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.