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Finding the Fourth Proportional to 816.71, 1,225.68 and 384.17

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Solution

The fourth proportional to 816.71, 1,225.68 and 384.17 is: 576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.71 : 1,225.68 = 384.17 : x
  2. Step 2: Convert to fraction form
    816.71/1,225.68 = 384.17/x
  3. Step 3: Cross multiply
    816.71x = 1,225.68 × 384.17
  4. Step 4: Simplify right side
    816.71x = 470,867.56
  5. Step 5: Solve for x
    x = 470,867.56/816.71
  6. Step 6: Final answer
    x = 576.54

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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.