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Finding the Fourth Proportional to 1,386.89, 2,080.38 and 606.49

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Solution

The fourth proportional to 1,386.89, 2,080.38 and 606.49 is: 909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.89 : 2,080.38 = 606.49 : x
  2. Step 2: Convert to fraction form
    1,386.89/2,080.38 = 606.49/x
  3. Step 3: Cross multiply
    1,386.89x = 2,080.38 × 606.49
  4. Step 4: Simplify right side
    1,386.89x = 1,261,739.90
  5. Step 5: Solve for x
    x = 1,261,739.90/1,386.89
  6. Step 6: Final answer
    x = 909.76

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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.