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Finding the Fourth Proportional to 584.01, 805.29 and 397.12

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Solution

The fourth proportional to 584.01, 805.29 and 397.12 is: 547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.01 : 805.29 = 397.12 : x
  2. Step 2: Convert to fraction form
    584.01/805.29 = 397.12/x
  3. Step 3: Cross multiply
    584.01x = 805.29 × 397.12
  4. Step 4: Simplify right side
    584.01x = 319,797.01
  5. Step 5: Solve for x
    x = 319,797.01/584.01
  6. Step 6: Final answer
    x = 547.59

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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.