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Finding the Fourth Proportional to 698.40, 951.12 and 694.08

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Solution

The fourth proportional to 698.40, 951.12 and 694.08 is: 945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.40 : 951.12 = 694.08 : x
  2. Step 2: Convert to fraction form
    698.40/951.12 = 694.08/x
  3. Step 3: Cross multiply
    698.40x = 951.12 × 694.08
  4. Step 4: Simplify right side
    698.40x = 660,153.37
  5. Step 5: Solve for x
    x = 660,153.37/698.40
  6. Step 6: Final answer
    x = 945.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.