Home / 1,631.70-2,447.78-535.83

Finding the Fourth Proportional to 1,631.70, 2,447.78 and 535.83

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Solution

The fourth proportional to 1,631.70, 2,447.78 and 535.83 is: 803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.70 : 2,447.78 = 535.83 : x
  2. Step 2: Convert to fraction form
    1,631.70/2,447.78 = 535.83/x
  3. Step 3: Cross multiply
    1,631.70x = 2,447.78 × 535.83
  4. Step 4: Simplify right side
    1,631.70x = 1,311,591.28
  5. Step 5: Solve for x
    x = 1,311,591.28/1,631.70
  6. Step 6: Final answer
    x = 803.82

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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.