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Finding the Fourth Proportional to 1,498.65, 2,247 and 718.64

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Solution

The fourth proportional to 1,498.65, 2,247 and 718.64 is: 1,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.65 : 2,247 = 718.64 : x
  2. Step 2: Convert to fraction form
    1,498.65/2,247 = 718.64/x
  3. Step 3: Cross multiply
    1,498.65x = 2,247 × 718.64
  4. Step 4: Simplify right side
    1,498.65x = 1,614,772.85
  5. Step 5: Solve for x
    x = 1,614,772.85/1,498.65
  6. Step 6: Final answer
    x = 1,077.48

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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.