Home / 1,140.19-1,709.60-523.12

Finding the Fourth Proportional to 1,140.19, 1,709.60 and 523.12

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Solution

The fourth proportional to 1,140.19, 1,709.60 and 523.12 is: 784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.19 : 1,709.60 = 523.12 : x
  2. Step 2: Convert to fraction form
    1,140.19/1,709.60 = 523.12/x
  3. Step 3: Cross multiply
    1,140.19x = 1,709.60 × 523.12
  4. Step 4: Simplify right side
    1,140.19x = 894,314.79
  5. Step 5: Solve for x
    x = 894,314.79/1,140.19
  6. Step 6: Final answer
    x = 784.36

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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.