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Finding the Fourth Proportional to 506, 698.42 and 331.58

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Solution

The fourth proportional to 506, 698.42 and 331.58 is: 457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 698.42 = 331.58 : x
  2. Step 2: Convert to fraction form
    506/698.42 = 331.58/x
  3. Step 3: Cross multiply
    506x = 698.42 × 331.58
  4. Step 4: Simplify right side
    506x = 231,582.10
  5. Step 5: Solve for x
    x = 231,582.10/506
  6. Step 6: Final answer
    x = 457.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.