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Finding the Fourth Proportional to 764.33, 1,054.79 and 432.75

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Solution

The fourth proportional to 764.33, 1,054.79 and 432.75 is: 597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.33 : 1,054.79 = 432.75 : x
  2. Step 2: Convert to fraction form
    764.33/1,054.79 = 432.75/x
  3. Step 3: Cross multiply
    764.33x = 1,054.79 × 432.75
  4. Step 4: Simplify right side
    764.33x = 456,460.29
  5. Step 5: Solve for x
    x = 456,460.29/764.33
  6. Step 6: Final answer
    x = 597.20

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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.