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Finding the Fourth Proportional to 622.20, 928.21 and 578.01

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Solution

The fourth proportional to 622.20, 928.21 and 578.01 is: 862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.20 : 928.21 = 578.01 : x
  2. Step 2: Convert to fraction form
    622.20/928.21 = 578.01/x
  3. Step 3: Cross multiply
    622.20x = 928.21 × 578.01
  4. Step 4: Simplify right side
    622.20x = 536,514.66
  5. Step 5: Solve for x
    x = 536,514.66/622.20
  6. Step 6: Final answer
    x = 862.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.