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Finding the Fourth Proportional to 895.20, 1,343.20 and 408.16

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Solution

The fourth proportional to 895.20, 1,343.20 and 408.16 is: 612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.20 : 1,343.20 = 408.16 : x
  2. Step 2: Convert to fraction form
    895.20/1,343.20 = 408.16/x
  3. Step 3: Cross multiply
    895.20x = 1,343.20 × 408.16
  4. Step 4: Simplify right side
    895.20x = 548,240.51
  5. Step 5: Solve for x
    x = 548,240.51/895.20
  6. Step 6: Final answer
    x = 612.42

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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.