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Finding the Fourth Proportional to 578, 797.54 and 329.26

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Solution

The fourth proportional to 578, 797.54 and 329.26 is: 454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578 : 797.54 = 329.26 : x
  2. Step 2: Convert to fraction form
    578/797.54 = 329.26/x
  3. Step 3: Cross multiply
    578x = 797.54 × 329.26
  4. Step 4: Simplify right side
    578x = 262,598.02
  5. Step 5: Solve for x
    x = 262,598.02/578
  6. Step 6: Final answer
    x = 454.32

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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.