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Finding the Fourth Proportional to 800.37, 1,102.23 and 734.76

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Solution

The fourth proportional to 800.37, 1,102.23 and 734.76 is: 1,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.37 : 1,102.23 = 734.76 : x
  2. Step 2: Convert to fraction form
    800.37/1,102.23 = 734.76/x
  3. Step 3: Cross multiply
    800.37x = 1,102.23 × 734.76
  4. Step 4: Simplify right side
    800.37x = 809,874.51
  5. Step 5: Solve for x
    x = 809,874.51/800.37
  6. Step 6: Final answer
    x = 1,011.88

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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.