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Finding the Fourth Proportional to 764.92, 1,054.48 and 578.60

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Solution

The fourth proportional to 764.92, 1,054.48 and 578.60 is: 797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.92 : 1,054.48 = 578.60 : x
  2. Step 2: Convert to fraction form
    764.92/1,054.48 = 578.60/x
  3. Step 3: Cross multiply
    764.92x = 1,054.48 × 578.60
  4. Step 4: Simplify right side
    764.92x = 610,122.13
  5. Step 5: Solve for x
    x = 610,122.13/764.92
  6. Step 6: Final answer
    x = 797.63

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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.