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Finding the Fourth Proportional to 816, 1,223.04 and 469.20

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Solution

The fourth proportional to 816, 1,223.04 and 469.20 is: 703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    816 : 1,223.04 = 469.20 : x
  2. Step 2: Convert to fraction form
    816/1,223.04 = 469.20/x
  3. Step 3: Cross multiply
    816x = 1,223.04 × 469.20
  4. Step 4: Simplify right side
    816x = 573,850.37
  5. Step 5: Solve for x
    x = 573,850.37/816
  6. Step 6: Final answer
    x = 703.25

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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.