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Finding the Fourth Proportional to 764.12, 1,054.83 and 515.60

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Solution

The fourth proportional to 764.12, 1,054.83 and 515.60 is: 711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.12 : 1,054.83 = 515.60 : x
  2. Step 2: Convert to fraction form
    764.12/1,054.83 = 515.60/x
  3. Step 3: Cross multiply
    764.12x = 1,054.83 × 515.60
  4. Step 4: Simplify right side
    764.12x = 543,865.07
  5. Step 5: Solve for x
    x = 543,865.07/764.12
  6. Step 6: Final answer
    x = 711.76

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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.