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Finding the Fourth Proportional to 591.50, 814.41 and 502.80

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Solution

The fourth proportional to 591.50, 814.41 and 502.80 is: 692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.50 : 814.41 = 502.80 : x
  2. Step 2: Convert to fraction form
    591.50/814.41 = 502.80/x
  3. Step 3: Cross multiply
    591.50x = 814.41 × 502.80
  4. Step 4: Simplify right side
    591.50x = 409,485.35
  5. Step 5: Solve for x
    x = 409,485.35/591.50
  6. Step 6: Final answer
    x = 692.29

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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.