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Finding the Fourth Proportional to 922.47, 1,272.98 and 502.81

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Solution

The fourth proportional to 922.47, 1,272.98 and 502.81 is: 693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.47 : 1,272.98 = 502.81 : x
  2. Step 2: Convert to fraction form
    922.47/1,272.98 = 502.81/x
  3. Step 3: Cross multiply
    922.47x = 1,272.98 × 502.81
  4. Step 4: Simplify right side
    922.47x = 640,067.07
  5. Step 5: Solve for x
    x = 640,067.07/922.47
  6. Step 6: Final answer
    x = 693.86

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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.