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Finding the Fourth Proportional to 1,101.22, 1,652.01 and 407.89

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Solution

The fourth proportional to 1,101.22, 1,652.01 and 407.89 is: 611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.22 : 1,652.01 = 407.89 : x
  2. Step 2: Convert to fraction form
    1,101.22/1,652.01 = 407.89/x
  3. Step 3: Cross multiply
    1,101.22x = 1,652.01 × 407.89
  4. Step 4: Simplify right side
    1,101.22x = 673,838.36
  5. Step 5: Solve for x
    x = 673,838.36/1,101.22
  6. Step 6: Final answer
    x = 611.90

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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.