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Finding the Fourth Proportional to 1,386.54, 2,080.62 and 564.69

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Solution

The fourth proportional to 1,386.54, 2,080.62 and 564.69 is: 847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.54 : 2,080.62 = 564.69 : x
  2. Step 2: Convert to fraction form
    1,386.54/2,080.62 = 564.69/x
  3. Step 3: Cross multiply
    1,386.54x = 2,080.62 × 564.69
  4. Step 4: Simplify right side
    1,386.54x = 1,174,905.31
  5. Step 5: Solve for x
    x = 1,174,905.31/1,386.54
  6. Step 6: Final answer
    x = 847.36

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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.