Home / 1,149.30-1,724.10-533.14

Finding the Fourth Proportional to 1,149.30, 1,724.10 and 533.14

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Solution

The fourth proportional to 1,149.30, 1,724.10 and 533.14 is: 799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.30 : 1,724.10 = 533.14 : x
  2. Step 2: Convert to fraction form
    1,149.30/1,724.10 = 533.14/x
  3. Step 3: Cross multiply
    1,149.30x = 1,724.10 × 533.14
  4. Step 4: Simplify right side
    1,149.30x = 919,186.67
  5. Step 5: Solve for x
    x = 919,186.67/1,149.30
  6. Step 6: Final answer
    x = 799.78

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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.