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Finding the Fourth Proportional to 698.78, 964.16 and 404.04

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Solution

The fourth proportional to 698.78, 964.16 and 404.04 is: 557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.78 : 964.16 = 404.04 : x
  2. Step 2: Convert to fraction form
    698.78/964.16 = 404.04/x
  3. Step 3: Cross multiply
    698.78x = 964.16 × 404.04
  4. Step 4: Simplify right side
    698.78x = 389,559.21
  5. Step 5: Solve for x
    x = 389,559.21/698.78
  6. Step 6: Final answer
    x = 557.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.