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Finding the Fourth Proportional to 1,101.21, 1,652.23 and 662.76

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Solution

The fourth proportional to 1,101.21, 1,652.23 and 662.76 is: 994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.21 : 1,652.23 = 662.76 : x
  2. Step 2: Convert to fraction form
    1,101.21/1,652.23 = 662.76/x
  3. Step 3: Cross multiply
    1,101.21x = 1,652.23 × 662.76
  4. Step 4: Simplify right side
    1,101.21x = 1,095,033.71
  5. Step 5: Solve for x
    x = 1,095,033.71/1,101.21
  6. Step 6: Final answer
    x = 994.39

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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.