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Finding the Fourth Proportional to 817.24, 1,224.24 and 383.90

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Solution

The fourth proportional to 817.24, 1,224.24 and 383.90 is: 575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.24 : 1,224.24 = 383.90 : x
  2. Step 2: Convert to fraction form
    817.24/1,224.24 = 383.90/x
  3. Step 3: Cross multiply
    817.24x = 1,224.24 × 383.90
  4. Step 4: Simplify right side
    817.24x = 469,985.74
  5. Step 5: Solve for x
    x = 469,985.74/817.24
  6. Step 6: Final answer
    x = 575.09

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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.