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Finding the Fourth Proportional to 896.95, 1,342.99 and 463.19

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Solution

The fourth proportional to 896.95, 1,342.99 and 463.19 is: 693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.95 : 1,342.99 = 463.19 : x
  2. Step 2: Convert to fraction form
    896.95/1,342.99 = 463.19/x
  3. Step 3: Cross multiply
    896.95x = 1,342.99 × 463.19
  4. Step 4: Simplify right side
    896.95x = 622,065.38
  5. Step 5: Solve for x
    x = 622,065.38/896.95
  6. Step 6: Final answer
    x = 693.54

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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.