Home / 1,157.18-1,733.42-540.02

Finding the Fourth Proportional to 1,157.18, 1,733.42 and 540.02

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Solution

The fourth proportional to 1,157.18, 1,733.42 and 540.02 is: 808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.18 : 1,733.42 = 540.02 : x
  2. Step 2: Convert to fraction form
    1,157.18/1,733.42 = 540.02/x
  3. Step 3: Cross multiply
    1,157.18x = 1,733.42 × 540.02
  4. Step 4: Simplify right side
    1,157.18x = 936,087.15
  5. Step 5: Solve for x
    x = 936,087.15/1,157.18
  6. Step 6: Final answer
    x = 808.94

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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.