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Finding the Fourth Proportional to 595.09, 821.33 and 355.80

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Solution

The fourth proportional to 595.09, 821.33 and 355.80 is: 491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.09 : 821.33 = 355.80 : x
  2. Step 2: Convert to fraction form
    595.09/821.33 = 355.80/x
  3. Step 3: Cross multiply
    595.09x = 821.33 × 355.80
  4. Step 4: Simplify right side
    595.09x = 292,231.62
  5. Step 5: Solve for x
    x = 292,231.62/595.09
  6. Step 6: Final answer
    x = 491.07

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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.