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Finding the Fourth Proportional to 800.73, 1,099.26 and 735.12

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Solution

The fourth proportional to 800.73, 1,099.26 and 735.12 is: 1,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.73 : 1,099.26 = 735.12 : x
  2. Step 2: Convert to fraction form
    800.73/1,099.26 = 735.12/x
  3. Step 3: Cross multiply
    800.73x = 1,099.26 × 735.12
  4. Step 4: Simplify right side
    800.73x = 808,088.01
  5. Step 5: Solve for x
    x = 808,088.01/800.73
  6. Step 6: Final answer
    x = 1,009.19

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.