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Finding the Fourth Proportional to 1,580.46, 2,179.62 and 991.06

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Solution

The fourth proportional to 1,580.46, 2,179.62 and 991.06 is: 1,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.46 : 2,179.62 = 991.06 : x
  2. Step 2: Convert to fraction form
    1,580.46/2,179.62 = 991.06/x
  3. Step 3: Cross multiply
    1,580.46x = 2,179.62 × 991.06
  4. Step 4: Simplify right side
    1,580.46x = 2,160,134.20
  5. Step 5: Solve for x
    x = 2,160,134.20/1,580.46
  6. Step 6: Final answer
    x = 1,366.78

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1.5x scale

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.