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Finding the Fourth Proportional to 464.87, 697.88 and 191.19

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Solution

The fourth proportional to 464.87, 697.88 and 191.19 is: 287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.87 : 697.88 = 191.19 : x
  2. Step 2: Convert to fraction form
    464.87/697.88 = 191.19/x
  3. Step 3: Cross multiply
    464.87x = 697.88 × 191.19
  4. Step 4: Simplify right side
    464.87x = 133,430.77
  5. Step 5: Solve for x
    x = 133,430.77/464.87
  6. Step 6: Final answer
    x = 287.03

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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.