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Finding the Fourth Proportional to 584.35, 806.12 and 385.53

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Solution

The fourth proportional to 584.35, 806.12 and 385.53 is: 531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.35 : 806.12 = 385.53 : x
  2. Step 2: Convert to fraction form
    584.35/806.12 = 385.53/x
  3. Step 3: Cross multiply
    584.35x = 806.12 × 385.53
  4. Step 4: Simplify right side
    584.35x = 310,784.47
  5. Step 5: Solve for x
    x = 310,784.47/584.35
  6. Step 6: Final answer
    x = 531.84

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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.