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Finding the Fourth Proportional to 559.22, 838.23 and 405.07

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Solution

The fourth proportional to 559.22, 838.23 and 405.07 is: 607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.22 : 838.23 = 405.07 : x
  2. Step 2: Convert to fraction form
    559.22/838.23 = 405.07/x
  3. Step 3: Cross multiply
    559.22x = 838.23 × 405.07
  4. Step 4: Simplify right side
    559.22x = 339,541.83
  5. Step 5: Solve for x
    x = 339,541.83/559.22
  6. Step 6: Final answer
    x = 607.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.