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Finding the Fourth Proportional to 1,656.99, 2,286.68 and 911.02

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Solution

The fourth proportional to 1,656.99, 2,286.68 and 911.02 is: 1,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.99 : 2,286.68 = 911.02 : x
  2. Step 2: Convert to fraction form
    1,656.99/2,286.68 = 911.02/x
  3. Step 3: Cross multiply
    1,656.99x = 2,286.68 × 911.02
  4. Step 4: Simplify right side
    1,656.99x = 2,083,209.52
  5. Step 5: Solve for x
    x = 2,083,209.52/1,656.99
  6. Step 6: Final answer
    x = 1,257.22

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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.