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Finding the Fourth Proportional to 858.57, 1,285.08 and 676.32

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Solution

The fourth proportional to 858.57, 1,285.08 and 676.32 is: 1,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.57 : 1,285.08 = 676.32 : x
  2. Step 2: Convert to fraction form
    858.57/1,285.08 = 676.32/x
  3. Step 3: Cross multiply
    858.57x = 1,285.08 × 676.32
  4. Step 4: Simplify right side
    858.57x = 869,125.31
  5. Step 5: Solve for x
    x = 869,125.31/858.57
  6. Step 6: Final answer
    x = 1,012.29

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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.