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Finding the Fourth Proportional to 692.31, 955.55 and 444.22

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Solution

The fourth proportional to 692.31, 955.55 and 444.22 is: 613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.31 : 955.55 = 444.22 : x
  2. Step 2: Convert to fraction form
    692.31/955.55 = 444.22/x
  3. Step 3: Cross multiply
    692.31x = 955.55 × 444.22
  4. Step 4: Simplify right side
    692.31x = 424,473.14
  5. Step 5: Solve for x
    x = 424,473.14/692.31
  6. Step 6: Final answer
    x = 613.13

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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.