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Finding the Fourth Proportional to 595.90, 821.49 and 490.82

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Solution

The fourth proportional to 595.90, 821.49 and 490.82 is: 676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.90 : 821.49 = 490.82 : x
  2. Step 2: Convert to fraction form
    595.90/821.49 = 490.82/x
  3. Step 3: Cross multiply
    595.90x = 821.49 × 490.82
  4. Step 4: Simplify right side
    595.90x = 403,206.31
  5. Step 5: Solve for x
    x = 403,206.31/595.90
  6. Step 6: Final answer
    x = 676.63

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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.