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Finding the Fourth Proportional to 1,697.70, 2,343.11 and 1,034.81

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Solution

The fourth proportional to 1,697.70, 2,343.11 and 1,034.81 is: 1,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.70 : 2,343.11 = 1,034.81 : x
  2. Step 2: Convert to fraction form
    1,697.70/2,343.11 = 1,034.81/x
  3. Step 3: Cross multiply
    1,697.70x = 2,343.11 × 1,034.81
  4. Step 4: Simplify right side
    1,697.70x = 2,424,673.66
  5. Step 5: Solve for x
    x = 2,424,673.66/1,697.70
  6. Step 6: Final answer
    x = 1,428.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.