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Finding the Fourth Proportional to 662.63, 994.63 and 458.06

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Solution

The fourth proportional to 662.63, 994.63 and 458.06 is: 687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.63 : 994.63 = 458.06 : x
  2. Step 2: Convert to fraction form
    662.63/994.63 = 458.06/x
  3. Step 3: Cross multiply
    662.63x = 994.63 × 458.06
  4. Step 4: Simplify right side
    662.63x = 455,594.96
  5. Step 5: Solve for x
    x = 455,594.96/662.63
  6. Step 6: Final answer
    x = 687.55

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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.