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Finding the Fourth Proportional to 584.18, 807.26 and 418.94

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Solution

The fourth proportional to 584.18, 807.26 and 418.94 is: 578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.18 : 807.26 = 418.94 : x
  2. Step 2: Convert to fraction form
    584.18/807.26 = 418.94/x
  3. Step 3: Cross multiply
    584.18x = 807.26 × 418.94
  4. Step 4: Simplify right side
    584.18x = 338,187.37
  5. Step 5: Solve for x
    x = 338,187.37/584.18
  6. Step 6: Final answer
    x = 578.91

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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.