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Finding the Fourth Proportional to 804.38, 1,206.56 and 291.38

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Solution

The fourth proportional to 804.38, 1,206.56 and 291.38 is: 437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.38 : 1,206.56 = 291.38 : x
  2. Step 2: Convert to fraction form
    804.38/1,206.56 = 291.38/x
  3. Step 3: Cross multiply
    804.38x = 1,206.56 × 291.38
  4. Step 4: Simplify right side
    804.38x = 351,562.15
  5. Step 5: Solve for x
    x = 351,562.15/804.38
  6. Step 6: Final answer
    x = 437.06

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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.