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Finding the Fourth Proportional to 622.58, 858.69 and 584.78

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Solution

The fourth proportional to 622.58, 858.69 and 584.78 is: 806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.58 : 858.69 = 584.78 : x
  2. Step 2: Convert to fraction form
    622.58/858.69 = 584.78/x
  3. Step 3: Cross multiply
    622.58x = 858.69 × 584.78
  4. Step 4: Simplify right side
    622.58x = 502,144.74
  5. Step 5: Solve for x
    x = 502,144.74/622.58
  6. Step 6: Final answer
    x = 806.55

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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.