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Finding the Fourth Proportional to 770.06, 1,063.05 and 455.21

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Solution

The fourth proportional to 770.06, 1,063.05 and 455.21 is: 628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.06 : 1,063.05 = 455.21 : x
  2. Step 2: Convert to fraction form
    770.06/1,063.05 = 455.21/x
  3. Step 3: Cross multiply
    770.06x = 1,063.05 × 455.21
  4. Step 4: Simplify right side
    770.06x = 483,910.99
  5. Step 5: Solve for x
    x = 483,910.99/770.06
  6. Step 6: Final answer
    x = 628.41

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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.