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Finding the Fourth Proportional to 405.34, 607.83 and 116.62

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Solution

The fourth proportional to 405.34, 607.83 and 116.62 is: 174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.34 : 607.83 = 116.62 : x
  2. Step 2: Convert to fraction form
    405.34/607.83 = 116.62/x
  3. Step 3: Cross multiply
    405.34x = 607.83 × 116.62
  4. Step 4: Simplify right side
    405.34x = 70,885.13
  5. Step 5: Solve for x
    x = 70,885.13/405.34
  6. Step 6: Final answer
    x = 174.88

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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.