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Finding the Fourth Proportional to 543.19, 813.49 and 347.58

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Solution

The fourth proportional to 543.19, 813.49 and 347.58 is: 520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.19 : 813.49 = 347.58 : x
  2. Step 2: Convert to fraction form
    543.19/813.49 = 347.58/x
  3. Step 3: Cross multiply
    543.19x = 813.49 × 347.58
  4. Step 4: Simplify right side
    543.19x = 282,752.85
  5. Step 5: Solve for x
    x = 282,752.85/543.19
  6. Step 6: Final answer
    x = 520.54

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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.