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Finding the Fourth Proportional to 1,101.58, 1,652.10 and 451.96

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Solution

The fourth proportional to 1,101.58, 1,652.10 and 451.96 is: 677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.58 : 1,652.10 = 451.96 : x
  2. Step 2: Convert to fraction form
    1,101.58/1,652.10 = 451.96/x
  3. Step 3: Cross multiply
    1,101.58x = 1,652.10 × 451.96
  4. Step 4: Simplify right side
    1,101.58x = 746,683.12
  5. Step 5: Solve for x
    x = 746,683.12/1,101.58
  6. Step 6: Final answer
    x = 677.83

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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.