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Finding the Fourth Proportional to 891.50, 1,228.98 and 692.60

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Solution

The fourth proportional to 891.50, 1,228.98 and 692.60 is: 954.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.50 : 1,228.98 = 692.60 : x
  2. Step 2: Convert to fraction form
    891.50/1,228.98 = 692.60/x
  3. Step 3: Cross multiply
    891.50x = 1,228.98 × 692.60
  4. Step 4: Simplify right side
    891.50x = 851,191.55
  5. Step 5: Solve for x
    x = 851,191.55/891.50
  6. Step 6: Final answer
    x = 954.79

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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.