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Finding the Fourth Proportional to 829.76, 1,144.50 and 694.78

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Solution

The fourth proportional to 829.76, 1,144.50 and 694.78 is: 958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.76 : 1,144.50 = 694.78 : x
  2. Step 2: Convert to fraction form
    829.76/1,144.50 = 694.78/x
  3. Step 3: Cross multiply
    829.76x = 1,144.50 × 694.78
  4. Step 4: Simplify right side
    829.76x = 795,175.71
  5. Step 5: Solve for x
    x = 795,175.71/829.76
  6. Step 6: Final answer
    x = 958.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.