Home / 1,484.12-2,048.06-820.97

Finding the Fourth Proportional to 1,484.12, 2,048.06 and 820.97

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Solution

The fourth proportional to 1,484.12, 2,048.06 and 820.97 is: 1,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.12 : 2,048.06 = 820.97 : x
  2. Step 2: Convert to fraction form
    1,484.12/2,048.06 = 820.97/x
  3. Step 3: Cross multiply
    1,484.12x = 2,048.06 × 820.97
  4. Step 4: Simplify right side
    1,484.12x = 1,681,381.47
  5. Step 5: Solve for x
    x = 1,681,381.47/1,484.12
  6. Step 6: Final answer
    x = 1,132.92

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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.