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Finding the Fourth Proportional to 407.78, 607.29 and 405.44

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Solution

The fourth proportional to 407.78, 607.29 and 405.44 is: 603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.78 : 607.29 = 405.44 : x
  2. Step 2: Convert to fraction form
    407.78/607.29 = 405.44/x
  3. Step 3: Cross multiply
    407.78x = 607.29 × 405.44
  4. Step 4: Simplify right side
    407.78x = 246,216.62
  5. Step 5: Solve for x
    x = 246,216.62/407.78
  6. Step 6: Final answer
    x = 603.81

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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.