Home / 1,399.14-2,098.78-533.52

Finding the Fourth Proportional to 1,399.14, 2,098.78 and 533.52

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Solution

The fourth proportional to 1,399.14, 2,098.78 and 533.52 is: 800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.14 : 2,098.78 = 533.52 : x
  2. Step 2: Convert to fraction form
    1,399.14/2,098.78 = 533.52/x
  3. Step 3: Cross multiply
    1,399.14x = 2,098.78 × 533.52
  4. Step 4: Simplify right side
    1,399.14x = 1,119,741.11
  5. Step 5: Solve for x
    x = 1,119,741.11/1,399.14
  6. Step 6: Final answer
    x = 800.31

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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.