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Finding the Fourth Proportional to 692.23, 954.88 and 439.69

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Solution

The fourth proportional to 692.23, 954.88 and 439.69 is: 606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.23 : 954.88 = 439.69 : x
  2. Step 2: Convert to fraction form
    692.23/954.88 = 439.69/x
  3. Step 3: Cross multiply
    692.23x = 954.88 × 439.69
  4. Step 4: Simplify right side
    692.23x = 419,851.19
  5. Step 5: Solve for x
    x = 419,851.19/692.23
  6. Step 6: Final answer
    x = 606.52

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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.