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Finding the Fourth Proportional to 895.03, 1,342.78 and 408.43

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Solution

The fourth proportional to 895.03, 1,342.78 and 408.43 is: 612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.03 : 1,342.78 = 408.43 : x
  2. Step 2: Convert to fraction form
    895.03/1,342.78 = 408.43/x
  3. Step 3: Cross multiply
    895.03x = 1,342.78 × 408.43
  4. Step 4: Simplify right side
    895.03x = 548,424.74
  5. Step 5: Solve for x
    x = 548,424.74/895.03
  6. Step 6: Final answer
    x = 612.74

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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.