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Finding the Fourth Proportional to 922.07, 1,272.21 and 641.99

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Solution

The fourth proportional to 922.07, 1,272.21 and 641.99 is: 885.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.07 : 1,272.21 = 641.99 : x
  2. Step 2: Convert to fraction form
    922.07/1,272.21 = 641.99/x
  3. Step 3: Cross multiply
    922.07x = 1,272.21 × 641.99
  4. Step 4: Simplify right side
    922.07x = 816,742.89
  5. Step 5: Solve for x
    x = 816,742.89/922.07
  6. Step 6: Final answer
    x = 885.77

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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.