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Finding the Fourth Proportional to 770.26, 1,155.75 and 445.90

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Solution

The fourth proportional to 770.26, 1,155.75 and 445.90 is: 669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.26 : 1,155.75 = 445.90 : x
  2. Step 2: Convert to fraction form
    770.26/1,155.75 = 445.90/x
  3. Step 3: Cross multiply
    770.26x = 1,155.75 × 445.90
  4. Step 4: Simplify right side
    770.26x = 515,348.93
  5. Step 5: Solve for x
    x = 515,348.93/770.26
  6. Step 6: Final answer
    x = 669.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.