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Finding the Fourth Proportional to 922.84, 1,381.55 and 691.38

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Solution

The fourth proportional to 922.84, 1,381.55 and 691.38 is: 1,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.84 : 1,381.55 = 691.38 : x
  2. Step 2: Convert to fraction form
    922.84/1,381.55 = 691.38/x
  3. Step 3: Cross multiply
    922.84x = 1,381.55 × 691.38
  4. Step 4: Simplify right side
    922.84x = 955,172.58
  5. Step 5: Solve for x
    x = 955,172.58/922.84
  6. Step 6: Final answer
    x = 1,035.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.