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Finding the Fourth Proportional to 594.50, 892.15 and 448.36

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Solution

The fourth proportional to 594.50, 892.15 and 448.36 is: 672.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.50 : 892.15 = 448.36 : x
  2. Step 2: Convert to fraction form
    594.50/892.15 = 448.36/x
  3. Step 3: Cross multiply
    594.50x = 892.15 × 448.36
  4. Step 4: Simplify right side
    594.50x = 400,001.02
  5. Step 5: Solve for x
    x = 400,001.02/594.50
  6. Step 6: Final answer
    x = 672.83

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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.