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Finding the Fourth Proportional to 620.37, 931.24 and 312.14

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Solution

The fourth proportional to 620.37, 931.24 and 312.14 is: 468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.37 : 931.24 = 312.14 : x
  2. Step 2: Convert to fraction form
    620.37/931.24 = 312.14/x
  3. Step 3: Cross multiply
    620.37x = 931.24 × 312.14
  4. Step 4: Simplify right side
    620.37x = 290,679.97
  5. Step 5: Solve for x
    x = 290,679.97/620.37
  6. Step 6: Final answer
    x = 468.56

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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.