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Finding the Fourth Proportional to 867.60, 1,301.31 and 816.84

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Solution

The fourth proportional to 867.60, 1,301.31 and 816.84 is: 1,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.60 : 1,301.31 = 816.84 : x
  2. Step 2: Convert to fraction form
    867.60/1,301.31 = 816.84/x
  3. Step 3: Cross multiply
    867.60x = 1,301.31 × 816.84
  4. Step 4: Simplify right side
    867.60x = 1,062,962.06
  5. Step 5: Solve for x
    x = 1,062,962.06/867.60
  6. Step 6: Final answer
    x = 1,225.18

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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.