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Finding the Fourth Proportional to 1,110.39, 1,665.81 and 417.04

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Solution

The fourth proportional to 1,110.39, 1,665.81 and 417.04 is: 625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.39 : 1,665.81 = 417.04 : x
  2. Step 2: Convert to fraction form
    1,110.39/1,665.81 = 417.04/x
  3. Step 3: Cross multiply
    1,110.39x = 1,665.81 × 417.04
  4. Step 4: Simplify right side
    1,110.39x = 694,709.40
  5. Step 5: Solve for x
    x = 694,709.40/1,110.39
  6. Step 6: Final answer
    x = 625.64

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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.