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Finding the Fourth Proportional to 922.59, 1,374.98 and 869.27

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Solution

The fourth proportional to 922.59, 1,374.98 and 869.27 is: 1,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.59 : 1,374.98 = 869.27 : x
  2. Step 2: Convert to fraction form
    922.59/1,374.98 = 869.27/x
  3. Step 3: Cross multiply
    922.59x = 1,374.98 × 869.27
  4. Step 4: Simplify right side
    922.59x = 1,195,217.64
  5. Step 5: Solve for x
    x = 1,195,217.64/922.59
  6. Step 6: Final answer
    x = 1,295.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.