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Finding the Fourth Proportional to 496.79, 686.03 and 423.08

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Solution

The fourth proportional to 496.79, 686.03 and 423.08 is: 584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.79 : 686.03 = 423.08 : x
  2. Step 2: Convert to fraction form
    496.79/686.03 = 423.08/x
  3. Step 3: Cross multiply
    496.79x = 686.03 × 423.08
  4. Step 4: Simplify right side
    496.79x = 290,240.03
  5. Step 5: Solve for x
    x = 290,240.03/496.79
  6. Step 6: Final answer
    x = 584.24

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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.