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Finding the Fourth Proportional to 806.59, 1,209.99 and 258.94

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Solution

The fourth proportional to 806.59, 1,209.99 and 258.94 is: 388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.59 : 1,209.99 = 258.94 : x
  2. Step 2: Convert to fraction form
    806.59/1,209.99 = 258.94/x
  3. Step 3: Cross multiply
    806.59x = 1,209.99 × 258.94
  4. Step 4: Simplify right side
    806.59x = 313,314.81
  5. Step 5: Solve for x
    x = 313,314.81/806.59
  6. Step 6: Final answer
    x = 388.44

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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.