Home / 1,126.23-1,688.74-540.70

Finding the Fourth Proportional to 1,126.23, 1,688.74 and 540.70

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Solution

The fourth proportional to 1,126.23, 1,688.74 and 540.70 is: 810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.23 : 1,688.74 = 540.70 : x
  2. Step 2: Convert to fraction form
    1,126.23/1,688.74 = 540.70/x
  3. Step 3: Cross multiply
    1,126.23x = 1,688.74 × 540.70
  4. Step 4: Simplify right side
    1,126.23x = 913,096.14
  5. Step 5: Solve for x
    x = 913,096.14/1,126.23
  6. Step 6: Final answer
    x = 810.75

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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.