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Finding the Fourth Proportional to 2,798.61, 4,197.82 and 718.62

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Solution

The fourth proportional to 2,798.61, 4,197.82 and 718.62 is: 1,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.61 : 4,197.82 = 718.62 : x
  2. Step 2: Convert to fraction form
    2,798.61/4,197.82 = 718.62/x
  3. Step 3: Cross multiply
    2,798.61x = 4,197.82 × 718.62
  4. Step 4: Simplify right side
    2,798.61x = 3,016,637.41
  5. Step 5: Solve for x
    x = 3,016,637.41/2,798.61
  6. Step 6: Final answer
    x = 1,077.91

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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.