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Finding the Fourth Proportional to 922.89, 1,273.52 and 524.51

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Solution

The fourth proportional to 922.89, 1,273.52 and 524.51 is: 723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.89 : 1,273.52 = 524.51 : x
  2. Step 2: Convert to fraction form
    922.89/1,273.52 = 524.51/x
  3. Step 3: Cross multiply
    922.89x = 1,273.52 × 524.51
  4. Step 4: Simplify right side
    922.89x = 667,964.99
  5. Step 5: Solve for x
    x = 667,964.99/922.89
  6. Step 6: Final answer
    x = 723.78

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Double scale
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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.