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Finding the Fourth Proportional to 585.23, 806.49 and 543.92

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Solution

The fourth proportional to 585.23, 806.49 and 543.92 is: 749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.23 : 806.49 = 543.92 : x
  2. Step 2: Convert to fraction form
    585.23/806.49 = 543.92/x
  3. Step 3: Cross multiply
    585.23x = 806.49 × 543.92
  4. Step 4: Simplify right side
    585.23x = 438,662.01
  5. Step 5: Solve for x
    x = 438,662.01/585.23
  6. Step 6: Final answer
    x = 749.56

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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.