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Finding the Fourth Proportional to 858.85, 1,289.37 and 448.27

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Solution

The fourth proportional to 858.85, 1,289.37 and 448.27 is: 672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.85 : 1,289.37 = 448.27 : x
  2. Step 2: Convert to fraction form
    858.85/1,289.37 = 448.27/x
  3. Step 3: Cross multiply
    858.85x = 1,289.37 × 448.27
  4. Step 4: Simplify right side
    858.85x = 577,985.89
  5. Step 5: Solve for x
    x = 577,985.89/858.85
  6. Step 6: Final answer
    x = 672.98

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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.