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Finding the Fourth Proportional to 500.96, 692.67 and 439.46

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Solution

The fourth proportional to 500.96, 692.67 and 439.46 is: 607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.96 : 692.67 = 439.46 : x
  2. Step 2: Convert to fraction form
    500.96/692.67 = 439.46/x
  3. Step 3: Cross multiply
    500.96x = 692.67 × 439.46
  4. Step 4: Simplify right side
    500.96x = 304,400.76
  5. Step 5: Solve for x
    x = 304,400.76/500.96
  6. Step 6: Final answer
    x = 607.63

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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.