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Finding the Fourth Proportional to 611.30, 915.35 and 415.83

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Solution

The fourth proportional to 611.30, 915.35 and 415.83 is: 622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.30 : 915.35 = 415.83 : x
  2. Step 2: Convert to fraction form
    611.30/915.35 = 415.83/x
  3. Step 3: Cross multiply
    611.30x = 915.35 × 415.83
  4. Step 4: Simplify right side
    611.30x = 380,633.68
  5. Step 5: Solve for x
    x = 380,633.68/611.30
  6. Step 6: Final answer
    x = 622.67

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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.