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Finding the Fourth Proportional to 896.25, 1,344.02 and 479.55

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Solution

The fourth proportional to 896.25, 1,344.02 and 479.55 is: 719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.25 : 1,344.02 = 479.55 : x
  2. Step 2: Convert to fraction form
    896.25/1,344.02 = 479.55/x
  3. Step 3: Cross multiply
    896.25x = 1,344.02 × 479.55
  4. Step 4: Simplify right side
    896.25x = 644,522.39
  5. Step 5: Solve for x
    x = 644,522.39/896.25
  6. Step 6: Final answer
    x = 719.13

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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.