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Finding the Fourth Proportional to 595.70, 822.09 and 448.82

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Solution

The fourth proportional to 595.70, 822.09 and 448.82 is: 619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.70 : 822.09 = 448.82 : x
  2. Step 2: Convert to fraction form
    595.70/822.09 = 448.82/x
  3. Step 3: Cross multiply
    595.70x = 822.09 × 448.82
  4. Step 4: Simplify right side
    595.70x = 368,970.43
  5. Step 5: Solve for x
    x = 368,970.43/595.70
  6. Step 6: Final answer
    x = 619.39

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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.