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Finding the Fourth Proportional to 501.46, 692.97 and 426.75

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Solution

The fourth proportional to 501.46, 692.97 and 426.75 is: 589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.46 : 692.97 = 426.75 : x
  2. Step 2: Convert to fraction form
    501.46/692.97 = 426.75/x
  3. Step 3: Cross multiply
    501.46x = 692.97 × 426.75
  4. Step 4: Simplify right side
    501.46x = 295,724.95
  5. Step 5: Solve for x
    x = 295,724.95/501.46
  6. Step 6: Final answer
    x = 589.73

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1.5x scale

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.