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Finding the Fourth Proportional to 1,380.33, 2,070.86 and 599.99

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Solution

The fourth proportional to 1,380.33, 2,070.86 and 599.99 is: 900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.33 : 2,070.86 = 599.99 : x
  2. Step 2: Convert to fraction form
    1,380.33/2,070.86 = 599.99/x
  3. Step 3: Cross multiply
    1,380.33x = 2,070.86 × 599.99
  4. Step 4: Simplify right side
    1,380.33x = 1,242,481.94
  5. Step 5: Solve for x
    x = 1,242,481.94/1,380.33
  6. Step 6: Final answer
    x = 900.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.