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Finding the Fourth Proportional to 858.84, 1,285.38 and 713.40

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Solution

The fourth proportional to 858.84, 1,285.38 and 713.40 is: 1,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.84 : 1,285.38 = 713.40 : x
  2. Step 2: Convert to fraction form
    858.84/1,285.38 = 713.40/x
  3. Step 3: Cross multiply
    858.84x = 1,285.38 × 713.40
  4. Step 4: Simplify right side
    858.84x = 916,990.09
  5. Step 5: Solve for x
    x = 916,990.09/858.84
  6. Step 6: Final answer
    x = 1,067.71

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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.