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Finding the Fourth Proportional to 698.45, 964.10 and 403.82

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Solution

The fourth proportional to 698.45, 964.10 and 403.82 is: 557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.45 : 964.10 = 403.82 : x
  2. Step 2: Convert to fraction form
    698.45/964.10 = 403.82/x
  3. Step 3: Cross multiply
    698.45x = 964.10 × 403.82
  4. Step 4: Simplify right side
    698.45x = 389,319.05
  5. Step 5: Solve for x
    x = 389,319.05/698.45
  6. Step 6: Final answer
    x = 557.40

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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.