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Finding the Fourth Proportional to 563.68, 845.93 and 448.26

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Solution

The fourth proportional to 563.68, 845.93 and 448.26 is: 672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.68 : 845.93 = 448.26 : x
  2. Step 2: Convert to fraction form
    563.68/845.93 = 448.26/x
  3. Step 3: Cross multiply
    563.68x = 845.93 × 448.26
  4. Step 4: Simplify right side
    563.68x = 379,196.58
  5. Step 5: Solve for x
    x = 379,196.58/563.68
  6. Step 6: Final answer
    x = 672.72

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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.