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Finding the Fourth Proportional to 858.00, 1,289.73 and 535.41

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Solution

The fourth proportional to 858.00, 1,289.73 and 535.41 is: 804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.00 : 1,289.73 = 535.41 : x
  2. Step 2: Convert to fraction form
    858.00/1,289.73 = 535.41/x
  3. Step 3: Cross multiply
    858.00x = 1,289.73 × 535.41
  4. Step 4: Simplify right side
    858.00x = 690,539.18
  5. Step 5: Solve for x
    x = 690,539.18/858.00
  6. Step 6: Final answer
    x = 804.83

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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.