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Finding the Fourth Proportional to 646.46, 969.70 and 271.16

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Solution

The fourth proportional to 646.46, 969.70 and 271.16 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.46 : 969.70 = 271.16 : x
  2. Step 2: Convert to fraction form
    646.46/969.70 = 271.16/x
  3. Step 3: Cross multiply
    646.46x = 969.70 × 271.16
  4. Step 4: Simplify right side
    646.46x = 262,943.85
  5. Step 5: Solve for x
    x = 262,943.85/646.46
  6. Step 6: Final answer
    x = 406.74

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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.