Home / 1,109.96-1,664.94-493.52

Finding the Fourth Proportional to 1,109.96, 1,664.94 and 493.52

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Solution

The fourth proportional to 1,109.96, 1,664.94 and 493.52 is: 740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.96 : 1,664.94 = 493.52 : x
  2. Step 2: Convert to fraction form
    1,109.96/1,664.94 = 493.52/x
  3. Step 3: Cross multiply
    1,109.96x = 1,664.94 × 493.52
  4. Step 4: Simplify right side
    1,109.96x = 821,681.19
  5. Step 5: Solve for x
    x = 821,681.19/1,109.96
  6. Step 6: Final answer
    x = 740.28

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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.