Home / 1,149.42-1,723.18-533.57

Finding the Fourth Proportional to 1,149.42, 1,723.18 and 533.57

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Solution

The fourth proportional to 1,149.42, 1,723.18 and 533.57 is: 799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.42 : 1,723.18 = 533.57 : x
  2. Step 2: Convert to fraction form
    1,149.42/1,723.18 = 533.57/x
  3. Step 3: Cross multiply
    1,149.42x = 1,723.18 × 533.57
  4. Step 4: Simplify right side
    1,149.42x = 919,437.15
  5. Step 5: Solve for x
    x = 919,437.15/1,149.42
  6. Step 6: Final answer
    x = 799.91

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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.