Home / 1,109.08-1,663.21-459.06

Finding the Fourth Proportional to 1,109.08, 1,663.21 and 459.06

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Solution

The fourth proportional to 1,109.08, 1,663.21 and 459.06 is: 688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.08 : 1,663.21 = 459.06 : x
  2. Step 2: Convert to fraction form
    1,109.08/1,663.21 = 459.06/x
  3. Step 3: Cross multiply
    1,109.08x = 1,663.21 × 459.06
  4. Step 4: Simplify right side
    1,109.08x = 763,513.18
  5. Step 5: Solve for x
    x = 763,513.18/1,109.08
  6. Step 6: Final answer
    x = 688.42

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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.