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Finding the Fourth Proportional to 922.42, 1,269.84 and 868.96

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Solution

The fourth proportional to 922.42, 1,269.84 and 868.96 is: 1,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.42 : 1,269.84 = 868.96 : x
  2. Step 2: Convert to fraction form
    922.42/1,269.84 = 868.96/x
  3. Step 3: Cross multiply
    922.42x = 1,269.84 × 868.96
  4. Step 4: Simplify right side
    922.42x = 1,103,440.17
  5. Step 5: Solve for x
    x = 1,103,440.17/922.42
  6. Step 6: Final answer
    x = 1,196.24

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1.5x scale

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.