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Finding the Fourth Proportional to 1,479.69, 2,042.81 and 983.01

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Solution

The fourth proportional to 1,479.69, 2,042.81 and 983.01 is: 1,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.69 : 2,042.81 = 983.01 : x
  2. Step 2: Convert to fraction form
    1,479.69/2,042.81 = 983.01/x
  3. Step 3: Cross multiply
    1,479.69x = 2,042.81 × 983.01
  4. Step 4: Simplify right side
    1,479.69x = 2,008,102.66
  5. Step 5: Solve for x
    x = 2,008,102.66/1,479.69
  6. Step 6: Final answer
    x = 1,357.11

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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.