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Finding the Fourth Proportional to 1,386.85, 2,080.27 and 564.94

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Solution

The fourth proportional to 1,386.85, 2,080.27 and 564.94 is: 847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.85 : 2,080.27 = 564.94 : x
  2. Step 2: Convert to fraction form
    1,386.85/2,080.27 = 564.94/x
  3. Step 3: Cross multiply
    1,386.85x = 2,080.27 × 564.94
  4. Step 4: Simplify right side
    1,386.85x = 1,175,227.73
  5. Step 5: Solve for x
    x = 1,175,227.73/1,386.85
  6. Step 6: Final answer
    x = 847.41

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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.