Home / 1,134.28-1,564.66-784.36

Finding the Fourth Proportional to 1,134.28, 1,564.66 and 784.36

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Solution

The fourth proportional to 1,134.28, 1,564.66 and 784.36 is: 1,081.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.28 : 1,564.66 = 784.36 : x
  2. Step 2: Convert to fraction form
    1,134.28/1,564.66 = 784.36/x
  3. Step 3: Cross multiply
    1,134.28x = 1,564.66 × 784.36
  4. Step 4: Simplify right side
    1,134.28x = 1,227,256.72
  5. Step 5: Solve for x
    x = 1,227,256.72/1,134.28
  6. Step 6: Final answer
    x = 1,081.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.