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Finding the Fourth Proportional to 857.24, 1,285.65 and 394.73

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Solution

The fourth proportional to 857.24, 1,285.65 and 394.73 is: 591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.24 : 1,285.65 = 394.73 : x
  2. Step 2: Convert to fraction form
    857.24/1,285.65 = 394.73/x
  3. Step 3: Cross multiply
    857.24x = 1,285.65 × 394.73
  4. Step 4: Simplify right side
    857.24x = 507,478.20
  5. Step 5: Solve for x
    x = 507,478.20/857.24
  6. Step 6: Final answer
    x = 591.99

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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.