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Finding the Fourth Proportional to 1,319.31, 1,821.06 and 821.66

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Solution

The fourth proportional to 1,319.31, 1,821.06 and 821.66 is: 1,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.31 : 1,821.06 = 821.66 : x
  2. Step 2: Convert to fraction form
    1,319.31/1,821.06 = 821.66/x
  3. Step 3: Cross multiply
    1,319.31x = 1,821.06 × 821.66
  4. Step 4: Simplify right side
    1,319.31x = 1,496,283.05
  5. Step 5: Solve for x
    x = 1,496,283.05/1,319.31
  6. Step 6: Final answer
    x = 1,134.14

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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.