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Finding the Fourth Proportional to 708.26, 1,061.17 and 571.37

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Solution

The fourth proportional to 708.26, 1,061.17 and 571.37 is: 856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.26 : 1,061.17 = 571.37 : x
  2. Step 2: Convert to fraction form
    708.26/1,061.17 = 571.37/x
  3. Step 3: Cross multiply
    708.26x = 1,061.17 × 571.37
  4. Step 4: Simplify right side
    708.26x = 606,313.97
  5. Step 5: Solve for x
    x = 606,313.97/708.26
  6. Step 6: Final answer
    x = 856.07

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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.