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Finding the Fourth Proportional to 645.11, 968.30 and 460.21

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Solution

The fourth proportional to 645.11, 968.30 and 460.21 is: 690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.11 : 968.30 = 460.21 : x
  2. Step 2: Convert to fraction form
    645.11/968.30 = 460.21/x
  3. Step 3: Cross multiply
    645.11x = 968.30 × 460.21
  4. Step 4: Simplify right side
    645.11x = 445,621.34
  5. Step 5: Solve for x
    x = 445,621.34/645.11
  6. Step 6: Final answer
    x = 690.77

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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.