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Finding the Fourth Proportional to 764.50, 1,055.01 and 415.20

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Solution

The fourth proportional to 764.50, 1,055.01 and 415.20 is: 572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.50 : 1,055.01 = 415.20 : x
  2. Step 2: Convert to fraction form
    764.50/1,055.01 = 415.20/x
  3. Step 3: Cross multiply
    764.50x = 1,055.01 × 415.20
  4. Step 4: Simplify right side
    764.50x = 438,034.88
  5. Step 5: Solve for x
    x = 438,034.88/764.50
  6. Step 6: Final answer
    x = 572.97

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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.