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Finding the Fourth Proportional to 622.26, 933.71 and 440.82

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Solution

The fourth proportional to 622.26, 933.71 and 440.82 is: 661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 933.71 = 440.82 : x
  2. Step 2: Convert to fraction form
    622.26/933.71 = 440.82/x
  3. Step 3: Cross multiply
    622.26x = 933.71 × 440.82
  4. Step 4: Simplify right side
    622.26x = 411,595.84
  5. Step 5: Solve for x
    x = 411,595.84/622.26
  6. Step 6: Final answer
    x = 661.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.