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Finding the Fourth Proportional to 622.02, 936.71 and 541.83

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Solution

The fourth proportional to 622.02, 936.71 and 541.83 is: 815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.02 : 936.71 = 541.83 : x
  2. Step 2: Convert to fraction form
    622.02/936.71 = 541.83/x
  3. Step 3: Cross multiply
    622.02x = 936.71 × 541.83
  4. Step 4: Simplify right side
    622.02x = 507,534.87
  5. Step 5: Solve for x
    x = 507,534.87/622.02
  6. Step 6: Final answer
    x = 815.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.