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Finding the Fourth Proportional to 858.72, 1,285.62 and 580.48

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Solution

The fourth proportional to 858.72, 1,285.62 and 580.48 is: 869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.72 : 1,285.62 = 580.48 : x
  2. Step 2: Convert to fraction form
    858.72/1,285.62 = 580.48/x
  3. Step 3: Cross multiply
    858.72x = 1,285.62 × 580.48
  4. Step 4: Simplify right side
    858.72x = 746,276.70
  5. Step 5: Solve for x
    x = 746,276.70/858.72
  6. Step 6: Final answer
    x = 869.06

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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.