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Finding the Fourth Proportional to 464.95, 697.41 and 191.04

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Solution

The fourth proportional to 464.95, 697.41 and 191.04 is: 286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.95 : 697.41 = 191.04 : x
  2. Step 2: Convert to fraction form
    464.95/697.41 = 191.04/x
  3. Step 3: Cross multiply
    464.95x = 697.41 × 191.04
  4. Step 4: Simplify right side
    464.95x = 133,233.21
  5. Step 5: Solve for x
    x = 133,233.21/464.95
  6. Step 6: Final answer
    x = 286.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.