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Finding the Fourth Proportional to 1,393.64, 2,088.12 and 980.90

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Solution

The fourth proportional to 1,393.64, 2,088.12 and 980.90 is: 1,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.64 : 2,088.12 = 980.90 : x
  2. Step 2: Convert to fraction form
    1,393.64/2,088.12 = 980.90/x
  3. Step 3: Cross multiply
    1,393.64x = 2,088.12 × 980.90
  4. Step 4: Simplify right side
    1,393.64x = 2,048,236.91
  5. Step 5: Solve for x
    x = 2,048,236.91/1,393.64
  6. Step 6: Final answer
    x = 1,469.70

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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.