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Finding the Fourth Proportional to 643.85, 963.05 and 543.77

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Solution

The fourth proportional to 643.85, 963.05 and 543.77 is: 813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.85 : 963.05 = 543.77 : x
  2. Step 2: Convert to fraction form
    643.85/963.05 = 543.77/x
  3. Step 3: Cross multiply
    643.85x = 963.05 × 543.77
  4. Step 4: Simplify right side
    643.85x = 523,670.16
  5. Step 5: Solve for x
    x = 523,670.16/643.85
  6. Step 6: Final answer
    x = 813.35

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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.