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Finding the Fourth Proportional to 1,623.72, 2,435.70 and 699.12

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Solution

The fourth proportional to 1,623.72, 2,435.70 and 699.12 is: 1,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.72 : 2,435.70 = 699.12 : x
  2. Step 2: Convert to fraction form
    1,623.72/2,435.70 = 699.12/x
  3. Step 3: Cross multiply
    1,623.72x = 2,435.70 × 699.12
  4. Step 4: Simplify right side
    1,623.72x = 1,702,846.58
  5. Step 5: Solve for x
    x = 1,702,846.58/1,623.72
  6. Step 6: Final answer
    x = 1,048.73

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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.