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Finding the Fourth Proportional to 857.94, 1,285.97 and 613.72

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Solution

The fourth proportional to 857.94, 1,285.97 and 613.72 is: 919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.94 : 1,285.97 = 613.72 : x
  2. Step 2: Convert to fraction form
    857.94/1,285.97 = 613.72/x
  3. Step 3: Cross multiply
    857.94x = 1,285.97 × 613.72
  4. Step 4: Simplify right side
    857.94x = 789,225.51
  5. Step 5: Solve for x
    x = 789,225.51/857.94
  6. Step 6: Final answer
    x = 919.91

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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.