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Finding the Fourth Proportional to 601.20, 830.12 and 461.09

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Solution

The fourth proportional to 601.20, 830.12 and 461.09 is: 636.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.20 : 830.12 = 461.09 : x
  2. Step 2: Convert to fraction form
    601.20/830.12 = 461.09/x
  3. Step 3: Cross multiply
    601.20x = 830.12 × 461.09
  4. Step 4: Simplify right side
    601.20x = 382,763.95
  5. Step 5: Solve for x
    x = 382,763.95/601.20
  6. Step 6: Final answer
    x = 636.67

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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.