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Finding the Fourth Proportional to 421.37, 631.16 and 392.89

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Solution

The fourth proportional to 421.37, 631.16 and 392.89 is: 588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.37 : 631.16 = 392.89 : x
  2. Step 2: Convert to fraction form
    421.37/631.16 = 392.89/x
  3. Step 3: Cross multiply
    421.37x = 631.16 × 392.89
  4. Step 4: Simplify right side
    421.37x = 247,974.49
  5. Step 5: Solve for x
    x = 247,974.49/421.37
  6. Step 6: Final answer
    x = 588.50

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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.