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Finding the Fourth Proportional to 698.70, 964.20 and 403.98

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Solution

The fourth proportional to 698.70, 964.20 and 403.98 is: 557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.70 : 964.20 = 403.98 : x
  2. Step 2: Convert to fraction form
    698.70/964.20 = 403.98/x
  3. Step 3: Cross multiply
    698.70x = 964.20 × 403.98
  4. Step 4: Simplify right side
    698.70x = 389,517.52
  5. Step 5: Solve for x
    x = 389,517.52/698.70
  6. Step 6: Final answer
    x = 557.49

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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.