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Finding the Fourth Proportional to 460.34, 692.04 and 426.54

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Solution

The fourth proportional to 460.34, 692.04 and 426.54 is: 641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.34 : 692.04 = 426.54 : x
  2. Step 2: Convert to fraction form
    460.34/692.04 = 426.54/x
  3. Step 3: Cross multiply
    460.34x = 692.04 × 426.54
  4. Step 4: Simplify right side
    460.34x = 295,182.74
  5. Step 5: Solve for x
    x = 295,182.74/460.34
  6. Step 6: Final answer
    x = 641.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.