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Finding the Fourth Proportional to 645.69, 972.31 and 464.34

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Solution

The fourth proportional to 645.69, 972.31 and 464.34 is: 699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.69 : 972.31 = 464.34 : x
  2. Step 2: Convert to fraction form
    645.69/972.31 = 464.34/x
  3. Step 3: Cross multiply
    645.69x = 972.31 × 464.34
  4. Step 4: Simplify right side
    645.69x = 451,482.43
  5. Step 5: Solve for x
    x = 451,482.43/645.69
  6. Step 6: Final answer
    x = 699.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.