Home / 1,109.40-1,664.48-493.53

Finding the Fourth Proportional to 1,109.40, 1,664.48 and 493.53

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Solution

The fourth proportional to 1,109.40, 1,664.48 and 493.53 is: 740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.40 : 1,664.48 = 493.53 : x
  2. Step 2: Convert to fraction form
    1,109.40/1,664.48 = 493.53/x
  3. Step 3: Cross multiply
    1,109.40x = 1,664.48 × 493.53
  4. Step 4: Simplify right side
    1,109.40x = 821,470.81
  5. Step 5: Solve for x
    x = 821,470.81/1,109.40
  6. Step 6: Final answer
    x = 740.46

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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.