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Finding the Fourth Proportional to 1,497.05, 2,065.91 and 867.78

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Solution

The fourth proportional to 1,497.05, 2,065.91 and 867.78 is: 1,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.05 : 2,065.91 = 867.78 : x
  2. Step 2: Convert to fraction form
    1,497.05/2,065.91 = 867.78/x
  3. Step 3: Cross multiply
    1,497.05x = 2,065.91 × 867.78
  4. Step 4: Simplify right side
    1,497.05x = 1,792,751.04
  5. Step 5: Solve for x
    x = 1,792,751.04/1,497.05
  6. Step 6: Final answer
    x = 1,197.53

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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.