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Finding the Fourth Proportional to 662.06, 908.80 and 586.73

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Solution

The fourth proportional to 662.06, 908.80 and 586.73 is: 805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.06 : 908.80 = 586.73 : x
  2. Step 2: Convert to fraction form
    662.06/908.80 = 586.73/x
  3. Step 3: Cross multiply
    662.06x = 908.80 × 586.73
  4. Step 4: Simplify right side
    662.06x = 533,220.22
  5. Step 5: Solve for x
    x = 533,220.22/662.06
  6. Step 6: Final answer
    x = 805.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.