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Finding the Fourth Proportional to 599.79, 826.97 and 495.30

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Solution

The fourth proportional to 599.79, 826.97 and 495.30 is: 682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.79 : 826.97 = 495.30 : x
  2. Step 2: Convert to fraction form
    599.79/826.97 = 495.30/x
  3. Step 3: Cross multiply
    599.79x = 826.97 × 495.30
  4. Step 4: Simplify right side
    599.79x = 409,595.76
  5. Step 5: Solve for x
    x = 409,595.76/599.79
  6. Step 6: Final answer
    x = 682.90

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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.