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Finding the Fourth Proportional to 816.92, 1,223.40 and 384.20

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Solution

The fourth proportional to 816.92, 1,223.40 and 384.20 is: 575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.92 : 1,223.40 = 384.20 : x
  2. Step 2: Convert to fraction form
    816.92/1,223.40 = 384.20/x
  3. Step 3: Cross multiply
    816.92x = 1,223.40 × 384.20
  4. Step 4: Simplify right side
    816.92x = 470,030.28
  5. Step 5: Solve for x
    x = 470,030.28/816.92
  6. Step 6: Final answer
    x = 575.37

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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.