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Finding the Fourth Proportional to 901.44, 1,350.48 and 576.16

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Solution

The fourth proportional to 901.44, 1,350.48 and 576.16 is: 863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.44 : 1,350.48 = 576.16 : x
  2. Step 2: Convert to fraction form
    901.44/1,350.48 = 576.16/x
  3. Step 3: Cross multiply
    901.44x = 1,350.48 × 576.16
  4. Step 4: Simplify right side
    901.44x = 778,092.56
  5. Step 5: Solve for x
    x = 778,092.56/901.44
  6. Step 6: Final answer
    x = 863.17

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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.