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Finding the Fourth Proportional to 770.37, 1,062.88 and 573.94

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Solution

The fourth proportional to 770.37, 1,062.88 and 573.94 is: 791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.37 : 1,062.88 = 573.94 : x
  2. Step 2: Convert to fraction form
    770.37/1,062.88 = 573.94/x
  3. Step 3: Cross multiply
    770.37x = 1,062.88 × 573.94
  4. Step 4: Simplify right side
    770.37x = 610,029.35
  5. Step 5: Solve for x
    x = 610,029.35/770.37
  6. Step 6: Final answer
    x = 791.87

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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.