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Finding the Fourth Proportional to 896.07, 1,343.88 and 318.95

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Solution

The fourth proportional to 896.07, 1,343.88 and 318.95 is: 478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.07 : 1,343.88 = 318.95 : x
  2. Step 2: Convert to fraction form
    896.07/1,343.88 = 318.95/x
  3. Step 3: Cross multiply
    896.07x = 1,343.88 × 318.95
  4. Step 4: Simplify right side
    896.07x = 428,623.81
  5. Step 5: Solve for x
    x = 428,623.81/896.07
  6. Step 6: Final answer
    x = 478.34

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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.