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Finding the Fourth Proportional to 1,091.54, 1,636.74 and 474.92

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Solution

The fourth proportional to 1,091.54, 1,636.74 and 474.92 is: 712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.54 : 1,636.74 = 474.92 : x
  2. Step 2: Convert to fraction form
    1,091.54/1,636.74 = 474.92/x
  3. Step 3: Cross multiply
    1,091.54x = 1,636.74 × 474.92
  4. Step 4: Simplify right side
    1,091.54x = 777,320.56
  5. Step 5: Solve for x
    x = 777,320.56/1,091.54
  6. Step 6: Final answer
    x = 712.13

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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.