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Finding the Fourth Proportional to 815.37, 1,124.10 and 535.11

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Solution

The fourth proportional to 815.37, 1,124.10 and 535.11 is: 737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.37 : 1,124.10 = 535.11 : x
  2. Step 2: Convert to fraction form
    815.37/1,124.10 = 535.11/x
  3. Step 3: Cross multiply
    815.37x = 1,124.10 × 535.11
  4. Step 4: Simplify right side
    815.37x = 601,517.15
  5. Step 5: Solve for x
    x = 601,517.15/815.37
  6. Step 6: Final answer
    x = 737.72

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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.