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Finding the Fourth Proportional to 767.12, 1,059.78 and 619.50

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Solution

The fourth proportional to 767.12, 1,059.78 and 619.50 is: 855.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.12 : 1,059.78 = 619.50 : x
  2. Step 2: Convert to fraction form
    767.12/1,059.78 = 619.50/x
  3. Step 3: Cross multiply
    767.12x = 1,059.78 × 619.50
  4. Step 4: Simplify right side
    767.12x = 656,534.05
  5. Step 5: Solve for x
    x = 656,534.05/767.12
  6. Step 6: Final answer
    x = 855.84

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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.