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Finding the Fourth Proportional to 857.37, 1,285.47 and 309.47

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Solution

The fourth proportional to 857.37, 1,285.47 and 309.47 is: 464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.37 : 1,285.47 = 309.47 : x
  2. Step 2: Convert to fraction form
    857.37/1,285.47 = 309.47/x
  3. Step 3: Cross multiply
    857.37x = 1,285.47 × 309.47
  4. Step 4: Simplify right side
    857.37x = 397,814.40
  5. Step 5: Solve for x
    x = 397,814.40/857.37
  6. Step 6: Final answer
    x = 464.00

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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.