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Finding the Fourth Proportional to 858.60, 1,287.24 and 511.44

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Solution

The fourth proportional to 858.60, 1,287.24 and 511.44 is: 766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.60 : 1,287.24 = 511.44 : x
  2. Step 2: Convert to fraction form
    858.60/1,287.24 = 511.44/x
  3. Step 3: Cross multiply
    858.60x = 1,287.24 × 511.44
  4. Step 4: Simplify right side
    858.60x = 658,346.03
  5. Step 5: Solve for x
    x = 658,346.03/858.60
  6. Step 6: Final answer
    x = 766.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.