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Finding the Fourth Proportional to 1,104.63, 1,656.94 and 557.27

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Solution

The fourth proportional to 1,104.63, 1,656.94 and 557.27 is: 835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.63 : 1,656.94 = 557.27 : x
  2. Step 2: Convert to fraction form
    1,104.63/1,656.94 = 557.27/x
  3. Step 3: Cross multiply
    1,104.63x = 1,656.94 × 557.27
  4. Step 4: Simplify right side
    1,104.63x = 923,362.95
  5. Step 5: Solve for x
    x = 923,362.95/1,104.63
  6. Step 6: Final answer
    x = 835.90

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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.