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Finding the Fourth Proportional to 816.45, 1,223.13 and 405.10

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Solution

The fourth proportional to 816.45, 1,223.13 and 405.10 is: 606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.45 : 1,223.13 = 405.10 : x
  2. Step 2: Convert to fraction form
    816.45/1,223.13 = 405.10/x
  3. Step 3: Cross multiply
    816.45x = 1,223.13 × 405.10
  4. Step 4: Simplify right side
    816.45x = 495,489.96
  5. Step 5: Solve for x
    x = 495,489.96/816.45
  6. Step 6: Final answer
    x = 606.88

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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.