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Finding the Fourth Proportional to 2,199.86, 3,300.08 and 718.57

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Solution

The fourth proportional to 2,199.86, 3,300.08 and 718.57 is: 1,077.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.86 : 3,300.08 = 718.57 : x
  2. Step 2: Convert to fraction form
    2,199.86/3,300.08 = 718.57/x
  3. Step 3: Cross multiply
    2,199.86x = 3,300.08 × 718.57
  4. Step 4: Simplify right side
    2,199.86x = 2,371,332.03
  5. Step 5: Solve for x
    x = 2,371,332.03/2,199.86
  6. Step 6: Final answer
    x = 1,077.95

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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.