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Finding the Fourth Proportional to 1,484.12, 2,048.04 and 820.97

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Solution

The fourth proportional to 1,484.12, 2,048.04 and 820.97 is: 1,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.12 : 2,048.04 = 820.97 : x
  2. Step 2: Convert to fraction form
    1,484.12/2,048.04 = 820.97/x
  3. Step 3: Cross multiply
    1,484.12x = 2,048.04 × 820.97
  4. Step 4: Simplify right side
    1,484.12x = 1,681,379.40
  5. Step 5: Solve for x
    x = 1,681,379.40/1,484.12
  6. Step 6: Final answer
    x = 1,132.91

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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.