Home / 1,156.71-1,734.24-540.08

Finding the Fourth Proportional to 1,156.71, 1,734.24 and 540.08

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Solution

The fourth proportional to 1,156.71, 1,734.24 and 540.08 is: 809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.71 : 1,734.24 = 540.08 : x
  2. Step 2: Convert to fraction form
    1,156.71/1,734.24 = 540.08/x
  3. Step 3: Cross multiply
    1,156.71x = 1,734.24 × 540.08
  4. Step 4: Simplify right side
    1,156.71x = 936,628.34
  5. Step 5: Solve for x
    x = 936,628.34/1,156.71
  6. Step 6: Final answer
    x = 809.73

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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.