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Finding the Fourth Proportional to 663.51, 994.93 and 312.00

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Solution

The fourth proportional to 663.51, 994.93 and 312.00 is: 467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.51 : 994.93 = 312.00 : x
  2. Step 2: Convert to fraction form
    663.51/994.93 = 312.00/x
  3. Step 3: Cross multiply
    663.51x = 994.93 × 312.00
  4. Step 4: Simplify right side
    663.51x = 310,418.00
  5. Step 5: Solve for x
    x = 310,418.00/663.51
  6. Step 6: Final answer
    x = 467.84

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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.