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Finding the Fourth Proportional to 1,707.86, 2,563.42 and 886.73

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Solution

The fourth proportional to 1,707.86, 2,563.42 and 886.73 is: 1,330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.86 : 2,563.42 = 886.73 : x
  2. Step 2: Convert to fraction form
    1,707.86/2,563.42 = 886.73/x
  3. Step 3: Cross multiply
    1,707.86x = 2,563.42 × 886.73
  4. Step 4: Simplify right side
    1,707.86x = 2,273,046.38
  5. Step 5: Solve for x
    x = 2,273,046.38/1,707.86
  6. Step 6: Final answer
    x = 1,330.93

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1.5x scale

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.