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Finding the Fourth Proportional to 1,480.57, 2,044.02 and 983.89

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Solution

The fourth proportional to 1,480.57, 2,044.02 and 983.89 is: 1,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.57 : 2,044.02 = 983.89 : x
  2. Step 2: Convert to fraction form
    1,480.57/2,044.02 = 983.89/x
  3. Step 3: Cross multiply
    1,480.57x = 2,044.02 × 983.89
  4. Step 4: Simplify right side
    1,480.57x = 2,011,090.84
  5. Step 5: Solve for x
    x = 2,011,090.84/1,480.57
  6. Step 6: Final answer
    x = 1,358.32

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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.