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Finding the Fourth Proportional to 407.73, 612.19 and 393.55

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Solution

The fourth proportional to 407.73, 612.19 and 393.55 is: 590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.73 : 612.19 = 393.55 : x
  2. Step 2: Convert to fraction form
    407.73/612.19 = 393.55/x
  3. Step 3: Cross multiply
    407.73x = 612.19 × 393.55
  4. Step 4: Simplify right side
    407.73x = 240,927.37
  5. Step 5: Solve for x
    x = 240,927.37/407.73
  6. Step 6: Final answer
    x = 590.91

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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.