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Finding the Fourth Proportional to 815.07, 1,216.86 and 738.54

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Solution

The fourth proportional to 815.07, 1,216.86 and 738.54 is: 1,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.07 : 1,216.86 = 738.54 : x
  2. Step 2: Convert to fraction form
    815.07/1,216.86 = 738.54/x
  3. Step 3: Cross multiply
    815.07x = 1,216.86 × 738.54
  4. Step 4: Simplify right side
    815.07x = 898,699.78
  5. Step 5: Solve for x
    x = 898,699.78/815.07
  6. Step 6: Final answer
    x = 1,102.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.