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Finding the Fourth Proportional to 770.54, 1,063.31 and 459.98

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Solution

The fourth proportional to 770.54, 1,063.31 and 459.98 is: 634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.54 : 1,063.31 = 459.98 : x
  2. Step 2: Convert to fraction form
    770.54/1,063.31 = 459.98/x
  3. Step 3: Cross multiply
    770.54x = 1,063.31 × 459.98
  4. Step 4: Simplify right side
    770.54x = 489,101.33
  5. Step 5: Solve for x
    x = 489,101.33/770.54
  6. Step 6: Final answer
    x = 634.75

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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.