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Finding the Fourth Proportional to 922.15, 1,381.95 and 488.44

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Solution

The fourth proportional to 922.15, 1,381.95 and 488.44 is: 731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.15 : 1,381.95 = 488.44 : x
  2. Step 2: Convert to fraction form
    922.15/1,381.95 = 488.44/x
  3. Step 3: Cross multiply
    922.15x = 1,381.95 × 488.44
  4. Step 4: Simplify right side
    922.15x = 674,999.66
  5. Step 5: Solve for x
    x = 674,999.66/922.15
  6. Step 6: Final answer
    x = 731.98

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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.