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Finding the Fourth Proportional to 543.54, 813.71 and 337.45

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Solution

The fourth proportional to 543.54, 813.71 and 337.45 is: 505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.54 : 813.71 = 337.45 : x
  2. Step 2: Convert to fraction form
    543.54/813.71 = 337.45/x
  3. Step 3: Cross multiply
    543.54x = 813.71 × 337.45
  4. Step 4: Simplify right side
    543.54x = 274,586.44
  5. Step 5: Solve for x
    x = 274,586.44/543.54
  6. Step 6: Final answer
    x = 505.18

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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.