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Finding the Fourth Proportional to 2,208.80, 3,312.99 and 565.31

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Solution

The fourth proportional to 2,208.80, 3,312.99 and 565.31 is: 847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.80 : 3,312.99 = 565.31 : x
  2. Step 2: Convert to fraction form
    2,208.80/3,312.99 = 565.31/x
  3. Step 3: Cross multiply
    2,208.80x = 3,312.99 × 565.31
  4. Step 4: Simplify right side
    2,208.80x = 1,872,849.81
  5. Step 5: Solve for x
    x = 1,872,849.81/2,208.80
  6. Step 6: Final answer
    x = 847.91

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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.