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Finding the Fourth Proportional to 895.97, 1,343.46 and 408.75

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Solution

The fourth proportional to 895.97, 1,343.46 and 408.75 is: 612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.97 : 1,343.46 = 408.75 : x
  2. Step 2: Convert to fraction form
    895.97/1,343.46 = 408.75/x
  3. Step 3: Cross multiply
    895.97x = 1,343.46 × 408.75
  4. Step 4: Simplify right side
    895.97x = 549,139.28
  5. Step 5: Solve for x
    x = 549,139.28/895.97
  6. Step 6: Final answer
    x = 612.90

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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.