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Finding the Fourth Proportional to 595.18, 821.19 and 385.42

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Solution

The fourth proportional to 595.18, 821.19 and 385.42 is: 531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.18 : 821.19 = 385.42 : x
  2. Step 2: Convert to fraction form
    595.18/821.19 = 385.42/x
  3. Step 3: Cross multiply
    595.18x = 821.19 × 385.42
  4. Step 4: Simplify right side
    595.18x = 316,503.05
  5. Step 5: Solve for x
    x = 316,503.05/595.18
  6. Step 6: Final answer
    x = 531.78

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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.