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Finding the Fourth Proportional to 804.32, 1,200.68 and 744.20

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Solution

The fourth proportional to 804.32, 1,200.68 and 744.20 is: 1,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.32 : 1,200.68 = 744.20 : x
  2. Step 2: Convert to fraction form
    804.32/1,200.68 = 744.20/x
  3. Step 3: Cross multiply
    804.32x = 1,200.68 × 744.20
  4. Step 4: Simplify right side
    804.32x = 893,546.06
  5. Step 5: Solve for x
    x = 893,546.06/804.32
  6. Step 6: Final answer
    x = 1,110.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.