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Finding the Fourth Proportional to 511.81, 706.37 and 480.53

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Solution

The fourth proportional to 511.81, 706.37 and 480.53 is: 663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.81 : 706.37 = 480.53 : x
  2. Step 2: Convert to fraction form
    511.81/706.37 = 480.53/x
  3. Step 3: Cross multiply
    511.81x = 706.37 × 480.53
  4. Step 4: Simplify right side
    511.81x = 339,431.98
  5. Step 5: Solve for x
    x = 339,431.98/511.81
  6. Step 6: Final answer
    x = 663.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.