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Finding the Fourth Proportional to 921.71, 1,272.94 and 900.52

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Solution

The fourth proportional to 921.71, 1,272.94 and 900.52 is: 1,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.71 : 1,272.94 = 900.52 : x
  2. Step 2: Convert to fraction form
    921.71/1,272.94 = 900.52/x
  3. Step 3: Cross multiply
    921.71x = 1,272.94 × 900.52
  4. Step 4: Simplify right side
    921.71x = 1,146,297.06
  5. Step 5: Solve for x
    x = 1,146,297.06/921.71
  6. Step 6: Final answer
    x = 1,243.67

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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.