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Finding the Fourth Proportional to 1,109.63, 1,665.29 and 416.95

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Solution

The fourth proportional to 1,109.63, 1,665.29 and 416.95 is: 625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.63 : 1,665.29 = 416.95 : x
  2. Step 2: Convert to fraction form
    1,109.63/1,665.29 = 416.95/x
  3. Step 3: Cross multiply
    1,109.63x = 1,665.29 × 416.95
  4. Step 4: Simplify right side
    1,109.63x = 694,339.54
  5. Step 5: Solve for x
    x = 694,339.54/1,109.63
  6. Step 6: Final answer
    x = 625.74

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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.