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Finding the Fourth Proportional to 867.41, 1,297.47 and 537.54

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Solution

The fourth proportional to 867.41, 1,297.47 and 537.54 is: 804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.41 : 1,297.47 = 537.54 : x
  2. Step 2: Convert to fraction form
    867.41/1,297.47 = 537.54/x
  3. Step 3: Cross multiply
    867.41x = 1,297.47 × 537.54
  4. Step 4: Simplify right side
    867.41x = 697,436.15
  5. Step 5: Solve for x
    x = 697,436.15/867.41
  6. Step 6: Final answer
    x = 804.05

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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.