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Finding the Fourth Proportional to 2,399.77, 3,598.68 and 839.44

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Solution

The fourth proportional to 2,399.77, 3,598.68 and 839.44 is: 1,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.77 : 3,598.68 = 839.44 : x
  2. Step 2: Convert to fraction form
    2,399.77/3,598.68 = 839.44/x
  3. Step 3: Cross multiply
    2,399.77x = 3,598.68 × 839.44
  4. Step 4: Simplify right side
    2,399.77x = 3,020,875.94
  5. Step 5: Solve for x
    x = 3,020,875.94/2,399.77
  6. Step 6: Final answer
    x = 1,258.82

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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.