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Finding the Fourth Proportional to 770.69, 1,063.35 and 573.86

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Solution

The fourth proportional to 770.69, 1,063.35 and 573.86 is: 791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.69 : 1,063.35 = 573.86 : x
  2. Step 2: Convert to fraction form
    770.69/1,063.35 = 573.86/x
  3. Step 3: Cross multiply
    770.69x = 1,063.35 × 573.86
  4. Step 4: Simplify right side
    770.69x = 610,216.69
  5. Step 5: Solve for x
    x = 610,216.69/770.69
  6. Step 6: Final answer
    x = 791.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.