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Finding the Fourth Proportional to 687.24, 1,029.92 and 470.97

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Solution

The fourth proportional to 687.24, 1,029.92 and 470.97 is: 705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.24 : 1,029.92 = 470.97 : x
  2. Step 2: Convert to fraction form
    687.24/1,029.92 = 470.97/x
  3. Step 3: Cross multiply
    687.24x = 1,029.92 × 470.97
  4. Step 4: Simplify right side
    687.24x = 485,059.07
  5. Step 5: Solve for x
    x = 485,059.07/687.24
  6. Step 6: Final answer
    x = 705.81

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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.