Home / 1,110.10-1,663.80-493.15

Finding the Fourth Proportional to 1,110.10, 1,663.80 and 493.15

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Solution

The fourth proportional to 1,110.10, 1,663.80 and 493.15 is: 739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.10 : 1,663.80 = 493.15 : x
  2. Step 2: Convert to fraction form
    1,110.10/1,663.80 = 493.15/x
  3. Step 3: Cross multiply
    1,110.10x = 1,663.80 × 493.15
  4. Step 4: Simplify right side
    1,110.10x = 820,502.97
  5. Step 5: Solve for x
    x = 820,502.97/1,110.10
  6. Step 6: Final answer
    x = 739.13

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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.