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Finding the Fourth Proportional to 622.40, 859.05 and 474.80

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Solution

The fourth proportional to 622.40, 859.05 and 474.80 is: 655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.40 : 859.05 = 474.80 : x
  2. Step 2: Convert to fraction form
    622.40/859.05 = 474.80/x
  3. Step 3: Cross multiply
    622.40x = 859.05 × 474.80
  4. Step 4: Simplify right side
    622.40x = 407,872.64
  5. Step 5: Solve for x
    x = 407,872.64/622.40
  6. Step 6: Final answer
    x = 655.33

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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.