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Finding the Fourth Proportional to 1,380.81, 2,071.87 and 687.53

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Solution

The fourth proportional to 1,380.81, 2,071.87 and 687.53 is: 1,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.81 : 2,071.87 = 687.53 : x
  2. Step 2: Convert to fraction form
    1,380.81/2,071.87 = 687.53/x
  3. Step 3: Cross multiply
    1,380.81x = 2,071.87 × 687.53
  4. Step 4: Simplify right side
    1,380.81x = 1,424,483.99
  5. Step 5: Solve for x
    x = 1,424,483.99/1,380.81
  6. Step 6: Final answer
    x = 1,031.63

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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.