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Finding the Fourth Proportional to 1,147.66, 1,720.86 and 406.90

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Solution

The fourth proportional to 1,147.66, 1,720.86 and 406.90 is: 610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.66 : 1,720.86 = 406.90 : x
  2. Step 2: Convert to fraction form
    1,147.66/1,720.86 = 406.90/x
  3. Step 3: Cross multiply
    1,147.66x = 1,720.86 × 406.90
  4. Step 4: Simplify right side
    1,147.66x = 700,217.93
  5. Step 5: Solve for x
    x = 700,217.93/1,147.66
  6. Step 6: Final answer
    x = 610.13

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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.