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Finding the Fourth Proportional to 598.25, 823.79 and 554.69

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Solution

The fourth proportional to 598.25, 823.79 and 554.69 is: 763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.25 : 823.79 = 554.69 : x
  2. Step 2: Convert to fraction form
    598.25/823.79 = 554.69/x
  3. Step 3: Cross multiply
    598.25x = 823.79 × 554.69
  4. Step 4: Simplify right side
    598.25x = 456,945.34
  5. Step 5: Solve for x
    x = 456,945.34/598.25
  6. Step 6: Final answer
    x = 763.81

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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.