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Finding the Fourth Proportional to 879.92, 1,213.80 and 692.72

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Solution

The fourth proportional to 879.92, 1,213.80 and 692.72 is: 955.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.92 : 1,213.80 = 692.72 : x
  2. Step 2: Convert to fraction form
    879.92/1,213.80 = 692.72/x
  3. Step 3: Cross multiply
    879.92x = 1,213.80 × 692.72
  4. Step 4: Simplify right side
    879.92x = 840,823.54
  5. Step 5: Solve for x
    x = 840,823.54/879.92
  6. Step 6: Final answer
    x = 955.57

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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.