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Finding the Fourth Proportional to 2,299.62, 3,449.93 and 718.32

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Solution

The fourth proportional to 2,299.62, 3,449.93 and 718.32 is: 1,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.62 : 3,449.93 = 718.32 : x
  2. Step 2: Convert to fraction form
    2,299.62/3,449.93 = 718.32/x
  3. Step 3: Cross multiply
    2,299.62x = 3,449.93 × 718.32
  4. Step 4: Simplify right side
    2,299.62x = 2,478,153.72
  5. Step 5: Solve for x
    x = 2,478,153.72/2,299.62
  6. Step 6: Final answer
    x = 1,077.64

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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.