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Finding the Fourth Proportional to 1,105.92, 1,657.94 and 585.63

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Solution

The fourth proportional to 1,105.92, 1,657.94 and 585.63 is: 877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.92 : 1,657.94 = 585.63 : x
  2. Step 2: Convert to fraction form
    1,105.92/1,657.94 = 585.63/x
  3. Step 3: Cross multiply
    1,105.92x = 1,657.94 × 585.63
  4. Step 4: Simplify right side
    1,105.92x = 970,936.47
  5. Step 5: Solve for x
    x = 970,936.47/1,105.92
  6. Step 6: Final answer
    x = 877.94

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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.