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Finding the Fourth Proportional to 668.40, 921.41 and 502.62

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Solution

The fourth proportional to 668.40, 921.41 and 502.62 is: 692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.40 : 921.41 = 502.62 : x
  2. Step 2: Convert to fraction form
    668.40/921.41 = 502.62/x
  3. Step 3: Cross multiply
    668.40x = 921.41 × 502.62
  4. Step 4: Simplify right side
    668.40x = 463,119.09
  5. Step 5: Solve for x
    x = 463,119.09/668.40
  6. Step 6: Final answer
    x = 692.88

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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.