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Finding the Fourth Proportional to 901.16, 1,342.82 and 804.24

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Solution

The fourth proportional to 901.16, 1,342.82 and 804.24 is: 1,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.16 : 1,342.82 = 804.24 : x
  2. Step 2: Convert to fraction form
    901.16/1,342.82 = 804.24/x
  3. Step 3: Cross multiply
    901.16x = 1,342.82 × 804.24
  4. Step 4: Simplify right side
    901.16x = 1,079,949.56
  5. Step 5: Solve for x
    x = 1,079,949.56/901.16
  6. Step 6: Final answer
    x = 1,198.40

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1.5x scale

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.