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Finding the Fourth Proportional to 708.98, 1,061.94 and 631.10

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Solution

The fourth proportional to 708.98, 1,061.94 and 631.10 is: 945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.98 : 1,061.94 = 631.10 : x
  2. Step 2: Convert to fraction form
    708.98/1,061.94 = 631.10/x
  3. Step 3: Cross multiply
    708.98x = 1,061.94 × 631.10
  4. Step 4: Simplify right side
    708.98x = 670,190.33
  5. Step 5: Solve for x
    x = 670,190.33/708.98
  6. Step 6: Final answer
    x = 945.29

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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.