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Finding the Fourth Proportional to 554.48, 764.76 and 423.92

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Solution

The fourth proportional to 554.48, 764.76 and 423.92 is: 584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.48 : 764.76 = 423.92 : x
  2. Step 2: Convert to fraction form
    554.48/764.76 = 423.92/x
  3. Step 3: Cross multiply
    554.48x = 764.76 × 423.92
  4. Step 4: Simplify right side
    554.48x = 324,197.06
  5. Step 5: Solve for x
    x = 324,197.06/554.48
  6. Step 6: Final answer
    x = 584.69

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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.