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Finding the Fourth Proportional to 662.37, 993.89 and 457.10

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Solution

The fourth proportional to 662.37, 993.89 and 457.10 is: 685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.37 : 993.89 = 457.10 : x
  2. Step 2: Convert to fraction form
    662.37/993.89 = 457.10/x
  3. Step 3: Cross multiply
    662.37x = 993.89 × 457.10
  4. Step 4: Simplify right side
    662.37x = 454,307.12
  5. Step 5: Solve for x
    x = 454,307.12/662.37
  6. Step 6: Final answer
    x = 685.88

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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.