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Finding the Fourth Proportional to 901.16, 1,351.73 and 535.86

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Solution

The fourth proportional to 901.16, 1,351.73 and 535.86 is: 803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.16 : 1,351.73 = 535.86 : x
  2. Step 2: Convert to fraction form
    901.16/1,351.73 = 535.86/x
  3. Step 3: Cross multiply
    901.16x = 1,351.73 × 535.86
  4. Step 4: Simplify right side
    901.16x = 724,338.04
  5. Step 5: Solve for x
    x = 724,338.04/901.16
  6. Step 6: Final answer
    x = 803.78

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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.