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Finding the Fourth Proportional to 622.40, 858.24 and 556.80

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Solution

The fourth proportional to 622.40, 858.24 and 556.80 is: 767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.40 : 858.24 = 556.80 : x
  2. Step 2: Convert to fraction form
    622.40/858.24 = 556.80/x
  3. Step 3: Cross multiply
    622.40x = 858.24 × 556.80
  4. Step 4: Simplify right side
    622.40x = 477,868.03
  5. Step 5: Solve for x
    x = 477,868.03/622.40
  6. Step 6: Final answer
    x = 767.78

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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.