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Finding the Fourth Proportional to 770.53, 1,063.19 and 455.72

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Solution

The fourth proportional to 770.53, 1,063.19 and 455.72 is: 628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.53 : 1,063.19 = 455.72 : x
  2. Step 2: Convert to fraction form
    770.53/1,063.19 = 455.72/x
  3. Step 3: Cross multiply
    770.53x = 1,063.19 × 455.72
  4. Step 4: Simplify right side
    770.53x = 484,517.33
  5. Step 5: Solve for x
    x = 484,517.33/770.53
  6. Step 6: Final answer
    x = 628.81

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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.