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Finding the Fourth Proportional to 645.94, 969.45 and 281.01

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Solution

The fourth proportional to 645.94, 969.45 and 281.01 is: 421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.94 : 969.45 = 281.01 : x
  2. Step 2: Convert to fraction form
    645.94/969.45 = 281.01/x
  3. Step 3: Cross multiply
    645.94x = 969.45 × 281.01
  4. Step 4: Simplify right side
    645.94x = 272,425.14
  5. Step 5: Solve for x
    x = 272,425.14/645.94
  6. Step 6: Final answer
    x = 421.75

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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.