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Finding the Fourth Proportional to 815.73, 1,223.22 and 507.12

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Solution

The fourth proportional to 815.73, 1,223.22 and 507.12 is: 760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.73 : 1,223.22 = 507.12 : x
  2. Step 2: Convert to fraction form
    815.73/1,223.22 = 507.12/x
  3. Step 3: Cross multiply
    815.73x = 1,223.22 × 507.12
  4. Step 4: Simplify right side
    815.73x = 620,319.33
  5. Step 5: Solve for x
    x = 620,319.33/815.73
  6. Step 6: Final answer
    x = 760.45

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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.