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Finding the Fourth Proportional to 622.35, 858.43 and 382.98

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Solution

The fourth proportional to 622.35, 858.43 and 382.98 is: 528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.35 : 858.43 = 382.98 : x
  2. Step 2: Convert to fraction form
    622.35/858.43 = 382.98/x
  3. Step 3: Cross multiply
    622.35x = 858.43 × 382.98
  4. Step 4: Simplify right side
    622.35x = 328,761.52
  5. Step 5: Solve for x
    x = 328,761.52/622.35
  6. Step 6: Final answer
    x = 528.26

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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.