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Finding the Fourth Proportional to 800.92, 1,105.32 and 451.60

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Solution

The fourth proportional to 800.92, 1,105.32 and 451.60 is: 623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.92 : 1,105.32 = 451.60 : x
  2. Step 2: Convert to fraction form
    800.92/1,105.32 = 451.60/x
  3. Step 3: Cross multiply
    800.92x = 1,105.32 × 451.60
  4. Step 4: Simplify right side
    800.92x = 499,162.51
  5. Step 5: Solve for x
    x = 499,162.51/800.92
  6. Step 6: Final answer
    x = 623.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.