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Finding the Fourth Proportional to 543.32, 813.70 and 420.56

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Solution

The fourth proportional to 543.32, 813.70 and 420.56 is: 629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.32 : 813.70 = 420.56 : x
  2. Step 2: Convert to fraction form
    543.32/813.70 = 420.56/x
  3. Step 3: Cross multiply
    543.32x = 813.70 × 420.56
  4. Step 4: Simplify right side
    543.32x = 342,209.67
  5. Step 5: Solve for x
    x = 342,209.67/543.32
  6. Step 6: Final answer
    x = 629.85

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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.