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Finding the Fourth Proportional to 815.27, 1,124.60 and 520.20

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Solution

The fourth proportional to 815.27, 1,124.60 and 520.20 is: 717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.27 : 1,124.60 = 520.20 : x
  2. Step 2: Convert to fraction form
    815.27/1,124.60 = 520.20/x
  3. Step 3: Cross multiply
    815.27x = 1,124.60 × 520.20
  4. Step 4: Simplify right side
    815.27x = 585,014.32
  5. Step 5: Solve for x
    x = 585,014.32/815.27
  6. Step 6: Final answer
    x = 717.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.