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Finding the Fourth Proportional to 698.57, 964.08 and 418.85

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Solution

The fourth proportional to 698.57, 964.08 and 418.85 is: 578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.57 : 964.08 = 418.85 : x
  2. Step 2: Convert to fraction form
    698.57/964.08 = 418.85/x
  3. Step 3: Cross multiply
    698.57x = 964.08 × 418.85
  4. Step 4: Simplify right side
    698.57x = 403,800.09
  5. Step 5: Solve for x
    x = 403,800.09/698.57
  6. Step 6: Final answer
    x = 578.04

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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.