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Finding the Fourth Proportional to 822.58, 1,134.95 and 491.09

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Solution

The fourth proportional to 822.58, 1,134.95 and 491.09 is: 677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.58 : 1,134.95 = 491.09 : x
  2. Step 2: Convert to fraction form
    822.58/1,134.95 = 491.09/x
  3. Step 3: Cross multiply
    822.58x = 1,134.95 × 491.09
  4. Step 4: Simplify right side
    822.58x = 557,354.47
  5. Step 5: Solve for x
    x = 557,354.47/822.58
  6. Step 6: Final answer
    x = 677.57

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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.