Home / 1,533.12-2,299.89-493.17

Finding the Fourth Proportional to 1,533.12, 2,299.89 and 493.17

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Solution

The fourth proportional to 1,533.12, 2,299.89 and 493.17 is: 739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.12 : 2,299.89 = 493.17 : x
  2. Step 2: Convert to fraction form
    1,533.12/2,299.89 = 493.17/x
  3. Step 3: Cross multiply
    1,533.12x = 2,299.89 × 493.17
  4. Step 4: Simplify right side
    1,533.12x = 1,134,236.75
  5. Step 5: Solve for x
    x = 1,134,236.75/1,533.12
  6. Step 6: Final answer
    x = 739.82

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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.