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Finding the Fourth Proportional to 770.94, 1,063.86 and 456.22

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Solution

The fourth proportional to 770.94, 1,063.86 and 456.22 is: 629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.94 : 1,063.86 = 456.22 : x
  2. Step 2: Convert to fraction form
    770.94/1,063.86 = 456.22/x
  3. Step 3: Cross multiply
    770.94x = 1,063.86 × 456.22
  4. Step 4: Simplify right side
    770.94x = 485,354.21
  5. Step 5: Solve for x
    x = 485,354.21/770.94
  6. Step 6: Final answer
    x = 629.56

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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.