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Finding the Fourth Proportional to 622.19, 859.07 and 498.53

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Solution

The fourth proportional to 622.19, 859.07 and 498.53 is: 688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.19 : 859.07 = 498.53 : x
  2. Step 2: Convert to fraction form
    622.19/859.07 = 498.53/x
  3. Step 3: Cross multiply
    622.19x = 859.07 × 498.53
  4. Step 4: Simplify right side
    622.19x = 428,272.17
  5. Step 5: Solve for x
    x = 428,272.17/622.19
  6. Step 6: Final answer
    x = 688.33

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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.