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Finding the Fourth Proportional to 511.49, 767.51 and 390.49

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Solution

The fourth proportional to 511.49, 767.51 and 390.49 is: 585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.49 : 767.51 = 390.49 : x
  2. Step 2: Convert to fraction form
    511.49/767.51 = 390.49/x
  3. Step 3: Cross multiply
    511.49x = 767.51 × 390.49
  4. Step 4: Simplify right side
    511.49x = 299,704.98
  5. Step 5: Solve for x
    x = 299,704.98/511.49
  6. Step 6: Final answer
    x = 585.94

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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.