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Finding the Fourth Proportional to 815.10, 1,223.01 and 404.01

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Solution

The fourth proportional to 815.10, 1,223.01 and 404.01 is: 606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.10 : 1,223.01 = 404.01 : x
  2. Step 2: Convert to fraction form
    815.10/1,223.01 = 404.01/x
  3. Step 3: Cross multiply
    815.10x = 1,223.01 × 404.01
  4. Step 4: Simplify right side
    815.10x = 494,108.27
  5. Step 5: Solve for x
    x = 494,108.27/815.10
  6. Step 6: Final answer
    x = 606.19

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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.