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Finding the Fourth Proportional to 816.42, 1,223.46 and 353.84

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Solution

The fourth proportional to 816.42, 1,223.46 and 353.84 is: 530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.42 : 1,223.46 = 353.84 : x
  2. Step 2: Convert to fraction form
    816.42/1,223.46 = 353.84/x
  3. Step 3: Cross multiply
    816.42x = 1,223.46 × 353.84
  4. Step 4: Simplify right side
    816.42x = 432,909.09
  5. Step 5: Solve for x
    x = 432,909.09/816.42
  6. Step 6: Final answer
    x = 530.25

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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.