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Finding the Fourth Proportional to 764.20, 1,054.40 and 465.44

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Solution

The fourth proportional to 764.20, 1,054.40 and 465.44 is: 642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.20 : 1,054.40 = 465.44 : x
  2. Step 2: Convert to fraction form
    764.20/1,054.40 = 465.44/x
  3. Step 3: Cross multiply
    764.20x = 1,054.40 × 465.44
  4. Step 4: Simplify right side
    764.20x = 490,757.61
  5. Step 5: Solve for x
    x = 490,757.61/764.20
  6. Step 6: Final answer
    x = 642.19

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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.