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Finding the Fourth Proportional to 821.48, 1,231.90 and 410.28

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Solution

The fourth proportional to 821.48, 1,231.90 and 410.28 is: 615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.48 : 1,231.90 = 410.28 : x
  2. Step 2: Convert to fraction form
    821.48/1,231.90 = 410.28/x
  3. Step 3: Cross multiply
    821.48x = 1,231.90 × 410.28
  4. Step 4: Simplify right side
    821.48x = 505,423.93
  5. Step 5: Solve for x
    x = 505,423.93/821.48
  6. Step 6: Final answer
    x = 615.26

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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.