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Finding the Fourth Proportional to 595.72, 823.22 and 448.09

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Solution

The fourth proportional to 595.72, 823.22 and 448.09 is: 619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.72 : 823.22 = 448.09 : x
  2. Step 2: Convert to fraction form
    595.72/823.22 = 448.09/x
  3. Step 3: Cross multiply
    595.72x = 823.22 × 448.09
  4. Step 4: Simplify right side
    595.72x = 368,876.47
  5. Step 5: Solve for x
    x = 368,876.47/595.72
  6. Step 6: Final answer
    x = 619.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.