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Finding the Fourth Proportional to 1,163.17, 1,744.79 and 470.17

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Solution

The fourth proportional to 1,163.17, 1,744.79 and 470.17 is: 705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.17 : 1,744.79 = 470.17 : x
  2. Step 2: Convert to fraction form
    1,163.17/1,744.79 = 470.17/x
  3. Step 3: Cross multiply
    1,163.17x = 1,744.79 × 470.17
  4. Step 4: Simplify right side
    1,163.17x = 820,347.91
  5. Step 5: Solve for x
    x = 820,347.91/1,163.17
  6. Step 6: Final answer
    x = 705.27

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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.