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Finding the Fourth Proportional to 1,311.61, 1,967.14 and 386.97

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Solution

The fourth proportional to 1,311.61, 1,967.14 and 386.97 is: 580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.61 : 1,967.14 = 386.97 : x
  2. Step 2: Convert to fraction form
    1,311.61/1,967.14 = 386.97/x
  3. Step 3: Cross multiply
    1,311.61x = 1,967.14 × 386.97
  4. Step 4: Simplify right side
    1,311.61x = 761,224.17
  5. Step 5: Solve for x
    x = 761,224.17/1,311.61
  6. Step 6: Final answer
    x = 580.37

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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.