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Finding the Fourth Proportional to 622.56, 858.68 and 594.96

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Solution

The fourth proportional to 622.56, 858.68 and 594.96 is: 820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.56 : 858.68 = 594.96 : x
  2. Step 2: Convert to fraction form
    622.56/858.68 = 594.96/x
  3. Step 3: Cross multiply
    622.56x = 858.68 × 594.96
  4. Step 4: Simplify right side
    622.56x = 510,880.25
  5. Step 5: Solve for x
    x = 510,880.25/622.56
  6. Step 6: Final answer
    x = 820.61

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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.