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Finding the Fourth Proportional to 539.23, 808.85 and 322.77

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Solution

The fourth proportional to 539.23, 808.85 and 322.77 is: 484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.23 : 808.85 = 322.77 : x
  2. Step 2: Convert to fraction form
    539.23/808.85 = 322.77/x
  3. Step 3: Cross multiply
    539.23x = 808.85 × 322.77
  4. Step 4: Simplify right side
    539.23x = 261,072.51
  5. Step 5: Solve for x
    x = 261,072.51/539.23
  6. Step 6: Final answer
    x = 484.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.