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Finding the Fourth Proportional to 770.87, 1,063.97 and 452.05

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Solution

The fourth proportional to 770.87, 1,063.97 and 452.05 is: 623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.87 : 1,063.97 = 452.05 : x
  2. Step 2: Convert to fraction form
    770.87/1,063.97 = 452.05/x
  3. Step 3: Cross multiply
    770.87x = 1,063.97 × 452.05
  4. Step 4: Simplify right side
    770.87x = 480,968.40
  5. Step 5: Solve for x
    x = 480,968.40/770.87
  6. Step 6: Final answer
    x = 623.93

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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.