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Finding the Fourth Proportional to 890.13, 1,227.94 and 692.31

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Solution

The fourth proportional to 890.13, 1,227.94 and 692.31 is: 955.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.13 : 1,227.94 = 692.31 : x
  2. Step 2: Convert to fraction form
    890.13/1,227.94 = 692.31/x
  3. Step 3: Cross multiply
    890.13x = 1,227.94 × 692.31
  4. Step 4: Simplify right side
    890.13x = 850,115.14
  5. Step 5: Solve for x
    x = 850,115.14/890.13
  6. Step 6: Final answer
    x = 955.05

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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.