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Finding the Fourth Proportional to 1,366.95, 2,051.02 and 717.53

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Solution

The fourth proportional to 1,366.95, 2,051.02 and 717.53 is: 1,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.95 : 2,051.02 = 717.53 : x
  2. Step 2: Convert to fraction form
    1,366.95/2,051.02 = 717.53/x
  3. Step 3: Cross multiply
    1,366.95x = 2,051.02 × 717.53
  4. Step 4: Simplify right side
    1,366.95x = 1,471,668.38
  5. Step 5: Solve for x
    x = 1,471,668.38/1,366.95
  6. Step 6: Final answer
    x = 1,076.61

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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.