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Finding the Fourth Proportional to 512.09, 762.71 and 506.01

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Solution

The fourth proportional to 512.09, 762.71 and 506.01 is: 753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.09 : 762.71 = 506.01 : x
  2. Step 2: Convert to fraction form
    512.09/762.71 = 506.01/x
  3. Step 3: Cross multiply
    512.09x = 762.71 × 506.01
  4. Step 4: Simplify right side
    512.09x = 385,938.89
  5. Step 5: Solve for x
    x = 385,938.89/512.09
  6. Step 6: Final answer
    x = 753.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.