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Finding the Fourth Proportional to 764.69, 1,055.29 and 415.40

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Solution

The fourth proportional to 764.69, 1,055.29 and 415.40 is: 573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.69 : 1,055.29 = 415.40 : x
  2. Step 2: Convert to fraction form
    764.69/1,055.29 = 415.40/x
  3. Step 3: Cross multiply
    764.69x = 1,055.29 × 415.40
  4. Step 4: Simplify right side
    764.69x = 438,365.87
  5. Step 5: Solve for x
    x = 438,365.87/764.69
  6. Step 6: Final answer
    x = 573.26

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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.