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Finding the Fourth Proportional to 407.85, 607.96 and 394.35

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Solution

The fourth proportional to 407.85, 607.96 and 394.35 is: 587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.85 : 607.96 = 394.35 : x
  2. Step 2: Convert to fraction form
    407.85/607.96 = 394.35/x
  3. Step 3: Cross multiply
    407.85x = 607.96 × 394.35
  4. Step 4: Simplify right side
    407.85x = 239,749.03
  5. Step 5: Solve for x
    x = 239,749.03/407.85
  6. Step 6: Final answer
    x = 587.84

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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.