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Finding the Fourth Proportional to 647.65, 969.57 and 427.87

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Solution

The fourth proportional to 647.65, 969.57 and 427.87 is: 640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.65 : 969.57 = 427.87 : x
  2. Step 2: Convert to fraction form
    647.65/969.57 = 427.87/x
  3. Step 3: Cross multiply
    647.65x = 969.57 × 427.87
  4. Step 4: Simplify right side
    647.65x = 414,849.92
  5. Step 5: Solve for x
    x = 414,849.92/647.65
  6. Step 6: Final answer
    x = 640.55

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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.