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Finding the Fourth Proportional to 770.80, 1,155.55 and 359.73

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Solution

The fourth proportional to 770.80, 1,155.55 and 359.73 is: 539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.80 : 1,155.55 = 359.73 : x
  2. Step 2: Convert to fraction form
    770.80/1,155.55 = 359.73/x
  3. Step 3: Cross multiply
    770.80x = 1,155.55 × 359.73
  4. Step 4: Simplify right side
    770.80x = 415,686.00
  5. Step 5: Solve for x
    x = 415,686.00/770.80
  6. Step 6: Final answer
    x = 539.29

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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.