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Finding the Fourth Proportional to 2,208.31, 3,312.53 and 564.88

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Solution

The fourth proportional to 2,208.31, 3,312.53 and 564.88 is: 847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.31 : 3,312.53 = 564.88 : x
  2. Step 2: Convert to fraction form
    2,208.31/3,312.53 = 564.88/x
  3. Step 3: Cross multiply
    2,208.31x = 3,312.53 × 564.88
  4. Step 4: Simplify right side
    2,208.31x = 1,871,181.95
  5. Step 5: Solve for x
    x = 1,871,181.95/2,208.31
  6. Step 6: Final answer
    x = 847.34

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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.