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Finding the Fourth Proportional to 925.90, 1,277.75 and 506.26

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Solution

The fourth proportional to 925.90, 1,277.75 and 506.26 is: 698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.90 : 1,277.75 = 506.26 : x
  2. Step 2: Convert to fraction form
    925.90/1,277.75 = 506.26/x
  3. Step 3: Cross multiply
    925.90x = 1,277.75 × 506.26
  4. Step 4: Simplify right side
    925.90x = 646,873.72
  5. Step 5: Solve for x
    x = 646,873.72/925.90
  6. Step 6: Final answer
    x = 698.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.