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Finding the Fourth Proportional to 620.15, 927.45 and 464.36

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Solution

The fourth proportional to 620.15, 927.45 and 464.36 is: 694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.15 : 927.45 = 464.36 : x
  2. Step 2: Convert to fraction form
    620.15/927.45 = 464.36/x
  3. Step 3: Cross multiply
    620.15x = 927.45 × 464.36
  4. Step 4: Simplify right side
    620.15x = 430,666.04
  5. Step 5: Solve for x
    x = 430,666.04/620.15
  6. Step 6: Final answer
    x = 694.46

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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.