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Finding the Fourth Proportional to 770.94, 1,063.98 and 522.27

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Solution

The fourth proportional to 770.94, 1,063.98 and 522.27 is: 720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.94 : 1,063.98 = 522.27 : x
  2. Step 2: Convert to fraction form
    770.94/1,063.98 = 522.27/x
  3. Step 3: Cross multiply
    770.94x = 1,063.98 × 522.27
  4. Step 4: Simplify right side
    770.94x = 555,684.83
  5. Step 5: Solve for x
    x = 555,684.83/770.94
  6. Step 6: Final answer
    x = 720.79

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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.