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Finding the Fourth Proportional to 622.42, 857.05 and 539.53

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Solution

The fourth proportional to 622.42, 857.05 and 539.53 is: 742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.42 : 857.05 = 539.53 : x
  2. Step 2: Convert to fraction form
    622.42/857.05 = 539.53/x
  3. Step 3: Cross multiply
    622.42x = 857.05 × 539.53
  4. Step 4: Simplify right side
    622.42x = 462,404.19
  5. Step 5: Solve for x
    x = 462,404.19/622.42
  6. Step 6: Final answer
    x = 742.91

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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.