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Finding the Fourth Proportional to 1,679.43, 2,518.14 and 985.77

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Solution

The fourth proportional to 1,679.43, 2,518.14 and 985.77 is: 1,478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.43 : 2,518.14 = 985.77 : x
  2. Step 2: Convert to fraction form
    1,679.43/2,518.14 = 985.77/x
  3. Step 3: Cross multiply
    1,679.43x = 2,518.14 × 985.77
  4. Step 4: Simplify right side
    1,679.43x = 2,482,305.02
  5. Step 5: Solve for x
    x = 2,482,305.02/1,679.43
  6. Step 6: Final answer
    x = 1,478.06

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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.