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Finding the Fourth Proportional to 2,345.99, 3,518.97 and 680.15

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Solution

The fourth proportional to 2,345.99, 3,518.97 and 680.15 is: 1,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.99 : 3,518.97 = 680.15 : x
  2. Step 2: Convert to fraction form
    2,345.99/3,518.97 = 680.15/x
  3. Step 3: Cross multiply
    2,345.99x = 3,518.97 × 680.15
  4. Step 4: Simplify right side
    2,345.99x = 2,393,409.85
  5. Step 5: Solve for x
    x = 2,393,409.85/2,345.99
  6. Step 6: Final answer
    x = 1,020.22

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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.