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Finding the Fourth Proportional to 1,311.02, 1,966.91 and 386.66

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Solution

The fourth proportional to 1,311.02, 1,966.91 and 386.66 is: 580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.02 : 1,966.91 = 386.66 : x
  2. Step 2: Convert to fraction form
    1,311.02/1,966.91 = 386.66/x
  3. Step 3: Cross multiply
    1,311.02x = 1,966.91 × 386.66
  4. Step 4: Simplify right side
    1,311.02x = 760,513.65
  5. Step 5: Solve for x
    x = 760,513.65/1,311.02
  6. Step 6: Final answer
    x = 580.10

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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.