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Finding the Fourth Proportional to 1,111.21, 1,665.64 and 417.43

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Solution

The fourth proportional to 1,111.21, 1,665.64 and 417.43 is: 625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.21 : 1,665.64 = 417.43 : x
  2. Step 2: Convert to fraction form
    1,111.21/1,665.64 = 417.43/x
  3. Step 3: Cross multiply
    1,111.21x = 1,665.64 × 417.43
  4. Step 4: Simplify right side
    1,111.21x = 695,288.11
  5. Step 5: Solve for x
    x = 695,288.11/1,111.21
  6. Step 6: Final answer
    x = 625.70

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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.