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Finding the Fourth Proportional to 858.05, 1,285.66 and 676.25

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Solution

The fourth proportional to 858.05, 1,285.66 and 676.25 is: 1,013.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.05 : 1,285.66 = 676.25 : x
  2. Step 2: Convert to fraction form
    858.05/1,285.66 = 676.25/x
  3. Step 3: Cross multiply
    858.05x = 1,285.66 × 676.25
  4. Step 4: Simplify right side
    858.05x = 869,427.58
  5. Step 5: Solve for x
    x = 869,427.58/858.05
  6. Step 6: Final answer
    x = 1,013.26

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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.