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Finding the Fourth Proportional to 405.66, 609.30 and 314.56

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Solution

The fourth proportional to 405.66, 609.30 and 314.56 is: 472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.66 : 609.30 = 314.56 : x
  2. Step 2: Convert to fraction form
    405.66/609.30 = 314.56/x
  3. Step 3: Cross multiply
    405.66x = 609.30 × 314.56
  4. Step 4: Simplify right side
    405.66x = 191,661.41
  5. Step 5: Solve for x
    x = 191,661.41/405.66
  6. Step 6: Final answer
    x = 472.47

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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.