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Finding the Fourth Proportional to 858.53, 1,289.85 and 550.98

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Solution

The fourth proportional to 858.53, 1,289.85 and 550.98 is: 827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.53 : 1,289.85 = 550.98 : x
  2. Step 2: Convert to fraction form
    858.53/1,289.85 = 550.98/x
  3. Step 3: Cross multiply
    858.53x = 1,289.85 × 550.98
  4. Step 4: Simplify right side
    858.53x = 710,678.80
  5. Step 5: Solve for x
    x = 710,678.80/858.53
  6. Step 6: Final answer
    x = 827.79

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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.