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Finding the Fourth Proportional to 645.47, 967.89 and 460.28

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Solution

The fourth proportional to 645.47, 967.89 and 460.28 is: 690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.47 : 967.89 = 460.28 : x
  2. Step 2: Convert to fraction form
    645.47/967.89 = 460.28/x
  3. Step 3: Cross multiply
    645.47x = 967.89 × 460.28
  4. Step 4: Simplify right side
    645.47x = 445,495.57
  5. Step 5: Solve for x
    x = 445,495.57/645.47
  6. Step 6: Final answer
    x = 690.19

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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.