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Finding the Fourth Proportional to 1,101.40, 1,652.50 and 485.09

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Solution

The fourth proportional to 1,101.40, 1,652.50 and 485.09 is: 727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.40 : 1,652.50 = 485.09 : x
  2. Step 2: Convert to fraction form
    1,101.40/1,652.50 = 485.09/x
  3. Step 3: Cross multiply
    1,101.40x = 1,652.50 × 485.09
  4. Step 4: Simplify right side
    1,101.40x = 801,609.77
  5. Step 5: Solve for x
    x = 801,609.77/1,101.40
  6. Step 6: Final answer
    x = 727.81

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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.