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Finding the Fourth Proportional to 867.97, 1,301.95 and 816.02

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Solution

The fourth proportional to 867.97, 1,301.95 and 816.02 is: 1,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.97 : 1,301.95 = 816.02 : x
  2. Step 2: Convert to fraction form
    867.97/1,301.95 = 816.02/x
  3. Step 3: Cross multiply
    867.97x = 1,301.95 × 816.02
  4. Step 4: Simplify right side
    867.97x = 1,062,421.66
  5. Step 5: Solve for x
    x = 1,062,421.66/867.97
  6. Step 6: Final answer
    x = 1,224.04

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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.