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Finding the Fourth Proportional to 817.49, 1,225.43 and 384.14

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Solution

The fourth proportional to 817.49, 1,225.43 and 384.14 is: 575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.49 : 1,225.43 = 384.14 : x
  2. Step 2: Convert to fraction form
    817.49/1,225.43 = 384.14/x
  3. Step 3: Cross multiply
    817.49x = 1,225.43 × 384.14
  4. Step 4: Simplify right side
    817.49x = 470,734.76
  5. Step 5: Solve for x
    x = 470,734.76/817.49
  6. Step 6: Final answer
    x = 575.83

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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.