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Finding the Fourth Proportional to 922.90, 1,381.76 and 836.40

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Solution

The fourth proportional to 922.90, 1,381.76 and 836.40 is: 1,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.90 : 1,381.76 = 836.40 : x
  2. Step 2: Convert to fraction form
    922.90/1,381.76 = 836.40/x
  3. Step 3: Cross multiply
    922.90x = 1,381.76 × 836.40
  4. Step 4: Simplify right side
    922.90x = 1,155,704.06
  5. Step 5: Solve for x
    x = 1,155,704.06/922.90
  6. Step 6: Final answer
    x = 1,252.25

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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.