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Finding the Fourth Proportional to 584.01, 805.91 and 347.90

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Solution

The fourth proportional to 584.01, 805.91 and 347.90 is: 480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.01 : 805.91 = 347.90 : x
  2. Step 2: Convert to fraction form
    584.01/805.91 = 347.90/x
  3. Step 3: Cross multiply
    584.01x = 805.91 × 347.90
  4. Step 4: Simplify right side
    584.01x = 280,376.09
  5. Step 5: Solve for x
    x = 280,376.09/584.01
  6. Step 6: Final answer
    x = 480.09

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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.