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Finding the Fourth Proportional to 539.54, 808.35 and 384.65

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Solution

The fourth proportional to 539.54, 808.35 and 384.65 is: 576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.54 : 808.35 = 384.65 : x
  2. Step 2: Convert to fraction form
    539.54/808.35 = 384.65/x
  3. Step 3: Cross multiply
    539.54x = 808.35 × 384.65
  4. Step 4: Simplify right side
    539.54x = 310,927.79
  5. Step 5: Solve for x
    x = 310,927.79/539.54
  6. Step 6: Final answer
    x = 576.29

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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.