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Finding the Fourth Proportional to 622.02, 857.58 and 447.06

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Solution

The fourth proportional to 622.02, 857.58 and 447.06 is: 616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.02 : 857.58 = 447.06 : x
  2. Step 2: Convert to fraction form
    622.02/857.58 = 447.06/x
  3. Step 3: Cross multiply
    622.02x = 857.58 × 447.06
  4. Step 4: Simplify right side
    622.02x = 383,389.71
  5. Step 5: Solve for x
    x = 383,389.71/622.02
  6. Step 6: Final answer
    x = 616.36

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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.