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Finding the Fourth Proportional to 622.74, 859.56 and 499.26

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Solution

The fourth proportional to 622.74, 859.56 and 499.26 is: 689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.74 : 859.56 = 499.26 : x
  2. Step 2: Convert to fraction form
    622.74/859.56 = 499.26/x
  3. Step 3: Cross multiply
    622.74x = 859.56 × 499.26
  4. Step 4: Simplify right side
    622.74x = 429,143.93
  5. Step 5: Solve for x
    x = 429,143.93/622.74
  6. Step 6: Final answer
    x = 689.12

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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.