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Finding the Fourth Proportional to 501.85, 692.90 and 408.45

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Solution

The fourth proportional to 501.85, 692.90 and 408.45 is: 563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.85 : 692.90 = 408.45 : x
  2. Step 2: Convert to fraction form
    501.85/692.90 = 408.45/x
  3. Step 3: Cross multiply
    501.85x = 692.90 × 408.45
  4. Step 4: Simplify right side
    501.85x = 283,016.03
  5. Step 5: Solve for x
    x = 283,016.03/501.85
  6. Step 6: Final answer
    x = 563.95

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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.