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Finding the Fourth Proportional to 698.65, 964.31 and 404.09

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Solution

The fourth proportional to 698.65, 964.31 and 404.09 is: 557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.65 : 964.31 = 404.09 : x
  2. Step 2: Convert to fraction form
    698.65/964.31 = 404.09/x
  3. Step 3: Cross multiply
    698.65x = 964.31 × 404.09
  4. Step 4: Simplify right side
    698.65x = 389,661.19
  5. Step 5: Solve for x
    x = 389,661.19/698.65
  6. Step 6: Final answer
    x = 557.74

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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.