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Finding the Fourth Proportional to 554.70, 762.06 and 496.45

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Solution

The fourth proportional to 554.70, 762.06 and 496.45 is: 682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.70 : 762.06 = 496.45 : x
  2. Step 2: Convert to fraction form
    554.70/762.06 = 496.45/x
  3. Step 3: Cross multiply
    554.70x = 762.06 × 496.45
  4. Step 4: Simplify right side
    554.70x = 378,320.42
  5. Step 5: Solve for x
    x = 378,320.42/554.70
  6. Step 6: Final answer
    x = 682.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.