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Finding the Fourth Proportional to 554.80, 765.84 and 496.48

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Solution

The fourth proportional to 554.80, 765.84 and 496.48 is: 685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.80 : 765.84 = 496.48 : x
  2. Step 2: Convert to fraction form
    554.80/765.84 = 496.48/x
  3. Step 3: Cross multiply
    554.80x = 765.84 × 496.48
  4. Step 4: Simplify right side
    554.80x = 380,224.24
  5. Step 5: Solve for x
    x = 380,224.24/554.80
  6. Step 6: Final answer
    x = 685.34

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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.