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Finding the Fourth Proportional to 857.54, 1,285.99 and 309.58

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Solution

The fourth proportional to 857.54, 1,285.99 and 309.58 is: 464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.54 : 1,285.99 = 309.58 : x
  2. Step 2: Convert to fraction form
    857.54/1,285.99 = 309.58/x
  3. Step 3: Cross multiply
    857.54x = 1,285.99 × 309.58
  4. Step 4: Simplify right side
    857.54x = 398,116.78
  5. Step 5: Solve for x
    x = 398,116.78/857.54
  6. Step 6: Final answer
    x = 464.25

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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.