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Finding the Fourth Proportional to 770.33, 1,155.64 and 276.68

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Solution

The fourth proportional to 770.33, 1,155.64 and 276.68 is: 415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.33 : 1,155.64 = 276.68 : x
  2. Step 2: Convert to fraction form
    770.33/1,155.64 = 276.68/x
  3. Step 3: Cross multiply
    770.33x = 1,155.64 × 276.68
  4. Step 4: Simplify right side
    770.33x = 319,736.01
  5. Step 5: Solve for x
    x = 319,736.01/770.33
  6. Step 6: Final answer
    x = 415.07

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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.