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Finding the Fourth Proportional to 622.72, 931.80 and 506.89

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Solution

The fourth proportional to 622.72, 931.80 and 506.89 is: 758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.72 : 931.80 = 506.89 : x
  2. Step 2: Convert to fraction form
    622.72/931.80 = 506.89/x
  3. Step 3: Cross multiply
    622.72x = 931.80 × 506.89
  4. Step 4: Simplify right side
    622.72x = 472,323.17
  5. Step 5: Solve for x
    x = 472,323.17/622.72
  6. Step 6: Final answer
    x = 758.48

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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.