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Finding the Fourth Proportional to 764.69, 1,055.03 and 528.65

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Solution

The fourth proportional to 764.69, 1,055.03 and 528.65 is: 729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.69 : 1,055.03 = 528.65 : x
  2. Step 2: Convert to fraction form
    764.69/1,055.03 = 528.65/x
  3. Step 3: Cross multiply
    764.69x = 1,055.03 × 528.65
  4. Step 4: Simplify right side
    764.69x = 557,742.60
  5. Step 5: Solve for x
    x = 557,742.60/764.69
  6. Step 6: Final answer
    x = 729.37

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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.