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Finding the Fourth Proportional to 405.48, 606.78 and 313.86

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Solution

The fourth proportional to 405.48, 606.78 and 313.86 is: 469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.48 : 606.78 = 313.86 : x
  2. Step 2: Convert to fraction form
    405.48/606.78 = 313.86/x
  3. Step 3: Cross multiply
    405.48x = 606.78 × 313.86
  4. Step 4: Simplify right side
    405.48x = 190,443.97
  5. Step 5: Solve for x
    x = 190,443.97/405.48
  6. Step 6: Final answer
    x = 469.68

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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.