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Finding the Fourth Proportional to 1,319.33, 1,820.62 and 721.80

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Solution

The fourth proportional to 1,319.33, 1,820.62 and 721.80 is: 996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.33 : 1,820.62 = 721.80 : x
  2. Step 2: Convert to fraction form
    1,319.33/1,820.62 = 721.80/x
  3. Step 3: Cross multiply
    1,319.33x = 1,820.62 × 721.80
  4. Step 4: Simplify right side
    1,319.33x = 1,314,123.52
  5. Step 5: Solve for x
    x = 1,314,123.52/1,319.33
  6. Step 6: Final answer
    x = 996.05

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1.5x scale

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.