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Finding the Fourth Proportional to 660.12, 989.10 and 312.63

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Solution

The fourth proportional to 660.12, 989.10 and 312.63 is: 468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.12 : 989.10 = 312.63 : x
  2. Step 2: Convert to fraction form
    660.12/989.10 = 312.63/x
  3. Step 3: Cross multiply
    660.12x = 989.10 × 312.63
  4. Step 4: Simplify right side
    660.12x = 309,222.33
  5. Step 5: Solve for x
    x = 309,222.33/660.12
  6. Step 6: Final answer
    x = 468.43

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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.