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Finding the Fourth Proportional to 1,133.08, 1,561.62 and 822.04

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Solution

The fourth proportional to 1,133.08, 1,561.62 and 822.04 is: 1,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.08 : 1,561.62 = 822.04 : x
  2. Step 2: Convert to fraction form
    1,133.08/1,561.62 = 822.04/x
  3. Step 3: Cross multiply
    1,133.08x = 1,561.62 × 822.04
  4. Step 4: Simplify right side
    1,133.08x = 1,283,714.10
  5. Step 5: Solve for x
    x = 1,283,714.10/1,133.08
  6. Step 6: Final answer
    x = 1,132.94

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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.