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Finding the Fourth Proportional to 407.70, 608.60 and 379.18

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Solution

The fourth proportional to 407.70, 608.60 and 379.18 is: 566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.70 : 608.60 = 379.18 : x
  2. Step 2: Convert to fraction form
    407.70/608.60 = 379.18/x
  3. Step 3: Cross multiply
    407.70x = 608.60 × 379.18
  4. Step 4: Simplify right side
    407.70x = 230,768.95
  5. Step 5: Solve for x
    x = 230,768.95/407.70
  6. Step 6: Final answer
    x = 566.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.