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Finding the Fourth Proportional to 698.48, 958.57 and 632.84

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Solution

The fourth proportional to 698.48, 958.57 and 632.84 is: 868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.48 : 958.57 = 632.84 : x
  2. Step 2: Convert to fraction form
    698.48/958.57 = 632.84/x
  3. Step 3: Cross multiply
    698.48x = 958.57 × 632.84
  4. Step 4: Simplify right side
    698.48x = 606,621.44
  5. Step 5: Solve for x
    x = 606,621.44/698.48
  6. Step 6: Final answer
    x = 868.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.