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Finding the Fourth Proportional to 543.70, 813.93 and 337.62

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Solution

The fourth proportional to 543.70, 813.93 and 337.62 is: 505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.70 : 813.93 = 337.62 : x
  2. Step 2: Convert to fraction form
    543.70/813.93 = 337.62/x
  3. Step 3: Cross multiply
    543.70x = 813.93 × 337.62
  4. Step 4: Simplify right side
    543.70x = 274,799.05
  5. Step 5: Solve for x
    x = 274,799.05/543.70
  6. Step 6: Final answer
    x = 505.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.