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Finding the Fourth Proportional to 2,208.66, 3,312.98 and 565.20

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Solution

The fourth proportional to 2,208.66, 3,312.98 and 565.20 is: 847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.66 : 3,312.98 = 565.20 : x
  2. Step 2: Convert to fraction form
    2,208.66/3,312.98 = 565.20/x
  3. Step 3: Cross multiply
    2,208.66x = 3,312.98 × 565.20
  4. Step 4: Simplify right side
    2,208.66x = 1,872,496.30
  5. Step 5: Solve for x
    x = 1,872,496.30/2,208.66
  6. Step 6: Final answer
    x = 847.80

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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.