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Finding the Fourth Proportional to 1,796.40, 2,478.99 and 999.73

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Solution

The fourth proportional to 1,796.40, 2,478.99 and 999.73 is: 1,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.40 : 2,478.99 = 999.73 : x
  2. Step 2: Convert to fraction form
    1,796.40/2,478.99 = 999.73/x
  3. Step 3: Cross multiply
    1,796.40x = 2,478.99 × 999.73
  4. Step 4: Simplify right side
    1,796.40x = 2,478,320.67
  5. Step 5: Solve for x
    x = 2,478,320.67/1,796.40
  6. Step 6: Final answer
    x = 1,379.60

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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.