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Finding the Fourth Proportional to 1,381.05, 2,071.91 and 407.14

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Solution

The fourth proportional to 1,381.05, 2,071.91 and 407.14 is: 610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.05 : 2,071.91 = 407.14 : x
  2. Step 2: Convert to fraction form
    1,381.05/2,071.91 = 407.14/x
  3. Step 3: Cross multiply
    1,381.05x = 2,071.91 × 407.14
  4. Step 4: Simplify right side
    1,381.05x = 843,545.04
  5. Step 5: Solve for x
    x = 843,545.04/1,381.05
  6. Step 6: Final answer
    x = 610.80

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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.