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Finding the Fourth Proportional to 597.65, 823.83 and 486.93

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Solution

The fourth proportional to 597.65, 823.83 and 486.93 is: 671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.65 : 823.83 = 486.93 : x
  2. Step 2: Convert to fraction form
    597.65/823.83 = 486.93/x
  3. Step 3: Cross multiply
    597.65x = 823.83 × 486.93
  4. Step 4: Simplify right side
    597.65x = 401,147.54
  5. Step 5: Solve for x
    x = 401,147.54/597.65
  6. Step 6: Final answer
    x = 671.21

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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.