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Finding the Fourth Proportional to 1,319.14, 1,820.46 and 821.80

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Solution

The fourth proportional to 1,319.14, 1,820.46 and 821.80 is: 1,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.14 : 1,820.46 = 821.80 : x
  2. Step 2: Convert to fraction form
    1,319.14/1,820.46 = 821.80/x
  3. Step 3: Cross multiply
    1,319.14x = 1,820.46 × 821.80
  4. Step 4: Simplify right side
    1,319.14x = 1,496,054.03
  5. Step 5: Solve for x
    x = 1,496,054.03/1,319.14
  6. Step 6: Final answer
    x = 1,134.11

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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.