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Finding the Fourth Proportional to 922.19, 1,271.50 and 803.73

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Solution

The fourth proportional to 922.19, 1,271.50 and 803.73 is: 1,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.19 : 1,271.50 = 803.73 : x
  2. Step 2: Convert to fraction form
    922.19/1,271.50 = 803.73/x
  3. Step 3: Cross multiply
    922.19x = 1,271.50 × 803.73
  4. Step 4: Simplify right side
    922.19x = 1,021,940.69
  5. Step 5: Solve for x
    x = 1,021,940.69/922.19
  6. Step 6: Final answer
    x = 1,108.17

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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.