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Finding the Fourth Proportional to 622.12, 931.56 and 405.04

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Solution

The fourth proportional to 622.12, 931.56 and 405.04 is: 606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.12 : 931.56 = 405.04 : x
  2. Step 2: Convert to fraction form
    622.12/931.56 = 405.04/x
  3. Step 3: Cross multiply
    622.12x = 931.56 × 405.04
  4. Step 4: Simplify right side
    622.12x = 377,319.06
  5. Step 5: Solve for x
    x = 377,319.06/622.12
  6. Step 6: Final answer
    x = 606.51

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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.