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Finding the Fourth Proportional to 661.10, 912.01 and 464.73

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Solution

The fourth proportional to 661.10, 912.01 and 464.73 is: 641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.10 : 912.01 = 464.73 : x
  2. Step 2: Convert to fraction form
    661.10/912.01 = 464.73/x
  3. Step 3: Cross multiply
    661.10x = 912.01 × 464.73
  4. Step 4: Simplify right side
    661.10x = 423,835.01
  5. Step 5: Solve for x
    x = 423,835.01/661.10
  6. Step 6: Final answer
    x = 641.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.