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Finding the Fourth Proportional to 584.24, 805.90 and 418.36

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Solution

The fourth proportional to 584.24, 805.90 and 418.36 is: 577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.24 : 805.90 = 418.36 : x
  2. Step 2: Convert to fraction form
    584.24/805.90 = 418.36/x
  3. Step 3: Cross multiply
    584.24x = 805.90 × 418.36
  4. Step 4: Simplify right side
    584.24x = 337,156.32
  5. Step 5: Solve for x
    x = 337,156.32/584.24
  6. Step 6: Final answer
    x = 577.09

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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.