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Finding the Fourth Proportional to 1,660.86, 2,291.65 and 1,039.50

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Solution

The fourth proportional to 1,660.86, 2,291.65 and 1,039.50 is: 1,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.86 : 2,291.65 = 1,039.50 : x
  2. Step 2: Convert to fraction form
    1,660.86/2,291.65 = 1,039.50/x
  3. Step 3: Cross multiply
    1,660.86x = 2,291.65 × 1,039.50
  4. Step 4: Simplify right side
    1,660.86x = 2,382,170.18
  5. Step 5: Solve for x
    x = 2,382,170.18/1,660.86
  6. Step 6: Final answer
    x = 1,434.30

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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.