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Finding the Fourth Proportional to 1,092.11, 1,507.11 and 594.74

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Solution

The fourth proportional to 1,092.11, 1,507.11 and 594.74 is: 820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.11 : 1,507.11 = 594.74 : x
  2. Step 2: Convert to fraction form
    1,092.11/1,507.11 = 594.74/x
  3. Step 3: Cross multiply
    1,092.11x = 1,507.11 × 594.74
  4. Step 4: Simplify right side
    1,092.11x = 896,338.60
  5. Step 5: Solve for x
    x = 896,338.60/1,092.11
  6. Step 6: Final answer
    x = 820.74

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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.