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Finding the Fourth Proportional to 412.29, 614.18 and 405.41

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Solution

The fourth proportional to 412.29, 614.18 and 405.41 is: 603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.29 : 614.18 = 405.41 : x
  2. Step 2: Convert to fraction form
    412.29/614.18 = 405.41/x
  3. Step 3: Cross multiply
    412.29x = 614.18 × 405.41
  4. Step 4: Simplify right side
    412.29x = 248,992.66
  5. Step 5: Solve for x
    x = 248,992.66/412.29
  6. Step 6: Final answer
    x = 603.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.