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Finding the Fourth Proportional to 595.50, 821.82 and 346.89

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Solution

The fourth proportional to 595.50, 821.82 and 346.89 is: 478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.50 : 821.82 = 346.89 : x
  2. Step 2: Convert to fraction form
    595.50/821.82 = 346.89/x
  3. Step 3: Cross multiply
    595.50x = 821.82 × 346.89
  4. Step 4: Simplify right side
    595.50x = 285,081.14
  5. Step 5: Solve for x
    x = 285,081.14/595.50
  6. Step 6: Final answer
    x = 478.73

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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.