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Finding the Fourth Proportional to 622.69, 859.01 and 498.50

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Solution

The fourth proportional to 622.69, 859.01 and 498.50 is: 687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.69 : 859.01 = 498.50 : x
  2. Step 2: Convert to fraction form
    622.69/859.01 = 498.50/x
  3. Step 3: Cross multiply
    622.69x = 859.01 × 498.50
  4. Step 4: Simplify right side
    622.69x = 428,217.75
  5. Step 5: Solve for x
    x = 428,217.75/622.69
  6. Step 6: Final answer
    x = 687.69

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Double scale
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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.