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Finding the Fourth Proportional to 1,351.35, 1,864.62 and 820.11

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Solution

The fourth proportional to 1,351.35, 1,864.62 and 820.11 is: 1,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.35 : 1,864.62 = 820.11 : x
  2. Step 2: Convert to fraction form
    1,351.35/1,864.62 = 820.11/x
  3. Step 3: Cross multiply
    1,351.35x = 1,864.62 × 820.11
  4. Step 4: Simplify right side
    1,351.35x = 1,529,193.51
  5. Step 5: Solve for x
    x = 1,529,193.51/1,351.35
  6. Step 6: Final answer
    x = 1,131.60

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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.