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Finding the Fourth Proportional to 1,105.21, 1,657.96 and 374.59

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Solution

The fourth proportional to 1,105.21, 1,657.96 and 374.59 is: 561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.21 : 1,657.96 = 374.59 : x
  2. Step 2: Convert to fraction form
    1,105.21/1,657.96 = 374.59/x
  3. Step 3: Cross multiply
    1,105.21x = 1,657.96 × 374.59
  4. Step 4: Simplify right side
    1,105.21x = 621,046.95
  5. Step 5: Solve for x
    x = 621,046.95/1,105.21
  6. Step 6: Final answer
    x = 561.93

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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.