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Finding the Fourth Proportional to 543.07, 813.85 and 347.46

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Solution

The fourth proportional to 543.07, 813.85 and 347.46 is: 520.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.07 : 813.85 = 347.46 : x
  2. Step 2: Convert to fraction form
    543.07/813.85 = 347.46/x
  3. Step 3: Cross multiply
    543.07x = 813.85 × 347.46
  4. Step 4: Simplify right side
    543.07x = 282,780.32
  5. Step 5: Solve for x
    x = 282,780.32/543.07
  6. Step 6: Final answer
    x = 520.71

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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.