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Finding the Fourth Proportional to 1,727, 2,588.17 and 945.83

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Solution

The fourth proportional to 1,727, 2,588.17 and 945.83 is: 1,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727 : 2,588.17 = 945.83 : x
  2. Step 2: Convert to fraction form
    1,727/2,588.17 = 945.83/x
  3. Step 3: Cross multiply
    1,727x = 2,588.17 × 945.83
  4. Step 4: Simplify right side
    1,727x = 2,447,951.16
  5. Step 5: Solve for x
    x = 2,447,951.16/1,727
  6. Step 6: Final answer
    x = 1,417.46

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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.