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Finding the Fourth Proportional to 895.20, 1,342.08 and 408.24

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Solution

The fourth proportional to 895.20, 1,342.08 and 408.24 is: 612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.20 : 1,342.08 = 408.24 : x
  2. Step 2: Convert to fraction form
    895.20/1,342.08 = 408.24/x
  3. Step 3: Cross multiply
    895.20x = 1,342.08 × 408.24
  4. Step 4: Simplify right side
    895.20x = 547,890.74
  5. Step 5: Solve for x
    x = 547,890.74/895.20
  6. Step 6: Final answer
    x = 612.03

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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.