Home / 1,109.25-1,664.01-459.63

Finding the Fourth Proportional to 1,109.25, 1,664.01 and 459.63

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Solution

The fourth proportional to 1,109.25, 1,664.01 and 459.63 is: 689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.25 : 1,664.01 = 459.63 : x
  2. Step 2: Convert to fraction form
    1,109.25/1,664.01 = 459.63/x
  3. Step 3: Cross multiply
    1,109.25x = 1,664.01 × 459.63
  4. Step 4: Simplify right side
    1,109.25x = 764,828.92
  5. Step 5: Solve for x
    x = 764,828.92/1,109.25
  6. Step 6: Final answer
    x = 689.50

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Double scale
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1.5x scale

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.