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Finding the Fourth Proportional to 1,799, 2,701.50 and 1,664.30

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Solution

The fourth proportional to 1,799, 2,701.50 and 1,664.30 is: 2,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799 : 2,701.50 = 1,664.30 : x
  2. Step 2: Convert to fraction form
    1,799/2,701.50 = 1,664.30/x
  3. Step 3: Cross multiply
    1,799x = 2,701.50 × 1,664.30
  4. Step 4: Simplify right side
    1,799x = 4,496,106.45
  5. Step 5: Solve for x
    x = 4,496,106.45/1,799
  6. Step 6: Final answer
    x = 2,499.23

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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.