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Finding the Fourth Proportional to 584.28, 805.08 and 397.80

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Solution

The fourth proportional to 584.28, 805.08 and 397.80 is: 548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.28 : 805.08 = 397.80 : x
  2. Step 2: Convert to fraction form
    584.28/805.08 = 397.80/x
  3. Step 3: Cross multiply
    584.28x = 805.08 × 397.80
  4. Step 4: Simplify right side
    584.28x = 320,260.82
  5. Step 5: Solve for x
    x = 320,260.82/584.28
  6. Step 6: Final answer
    x = 548.13

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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.