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Finding the Fourth Proportional to 1,147.14, 1,726.96 and 784.21

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Solution

The fourth proportional to 1,147.14, 1,726.96 and 784.21 is: 1,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.14 : 1,726.96 = 784.21 : x
  2. Step 2: Convert to fraction form
    1,147.14/1,726.96 = 784.21/x
  3. Step 3: Cross multiply
    1,147.14x = 1,726.96 × 784.21
  4. Step 4: Simplify right side
    1,147.14x = 1,354,299.30
  5. Step 5: Solve for x
    x = 1,354,299.30/1,147.14
  6. Step 6: Final answer
    x = 1,180.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.