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Finding the Fourth Proportional to 499.75, 688.22 and 498.13

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Solution

The fourth proportional to 499.75, 688.22 and 498.13 is: 685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.75 : 688.22 = 498.13 : x
  2. Step 2: Convert to fraction form
    499.75/688.22 = 498.13/x
  3. Step 3: Cross multiply
    499.75x = 688.22 × 498.13
  4. Step 4: Simplify right side
    499.75x = 342,823.03
  5. Step 5: Solve for x
    x = 342,823.03/499.75
  6. Step 6: Final answer
    x = 685.99

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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.