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Finding the Fourth Proportional to 1,084.52, 1,498.92 and 822.08

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Solution

The fourth proportional to 1,084.52, 1,498.92 and 822.08 is: 1,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.52 : 1,498.92 = 822.08 : x
  2. Step 2: Convert to fraction form
    1,084.52/1,498.92 = 822.08/x
  3. Step 3: Cross multiply
    1,084.52x = 1,498.92 × 822.08
  4. Step 4: Simplify right side
    1,084.52x = 1,232,232.15
  5. Step 5: Solve for x
    x = 1,232,232.15/1,084.52
  6. Step 6: Final answer
    x = 1,136.20

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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.