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Finding the Fourth Proportional to 622.99, 935.09 and 460.18

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Solution

The fourth proportional to 622.99, 935.09 and 460.18 is: 690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.99 : 935.09 = 460.18 : x
  2. Step 2: Convert to fraction form
    622.99/935.09 = 460.18/x
  3. Step 3: Cross multiply
    622.99x = 935.09 × 460.18
  4. Step 4: Simplify right side
    622.99x = 430,302.74
  5. Step 5: Solve for x
    x = 430,302.74/622.99
  6. Step 6: Final answer
    x = 690.71

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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.