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Finding the Fourth Proportional to 662.10, 994.14 and 657.06

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Solution

The fourth proportional to 662.10, 994.14 and 657.06 is: 986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.10 : 994.14 = 657.06 : x
  2. Step 2: Convert to fraction form
    662.10/994.14 = 657.06/x
  3. Step 3: Cross multiply
    662.10x = 994.14 × 657.06
  4. Step 4: Simplify right side
    662.10x = 653,209.63
  5. Step 5: Solve for x
    x = 653,209.63/662.10
  6. Step 6: Final answer
    x = 986.57

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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.