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Finding the Fourth Proportional to 896.43, 1,345.20 and 409.50

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Solution

The fourth proportional to 896.43, 1,345.20 and 409.50 is: 614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.43 : 1,345.20 = 409.50 : x
  2. Step 2: Convert to fraction form
    896.43/1,345.20 = 409.50/x
  3. Step 3: Cross multiply
    896.43x = 1,345.20 × 409.50
  4. Step 4: Simplify right side
    896.43x = 550,859.40
  5. Step 5: Solve for x
    x = 550,859.40/896.43
  6. Step 6: Final answer
    x = 614.50

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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.