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Finding the Fourth Proportional to 584.32, 805.70 and 397.92

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Solution

The fourth proportional to 584.32, 805.70 and 397.92 is: 548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.32 : 805.70 = 397.92 : x
  2. Step 2: Convert to fraction form
    584.32/805.70 = 397.92/x
  3. Step 3: Cross multiply
    584.32x = 805.70 × 397.92
  4. Step 4: Simplify right side
    584.32x = 320,604.14
  5. Step 5: Solve for x
    x = 320,604.14/584.32
  6. Step 6: Final answer
    x = 548.68

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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.