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Finding the Fourth Proportional to 518.78, 775.16 and 392.87

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Solution

The fourth proportional to 518.78, 775.16 and 392.87 is: 587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.78 : 775.16 = 392.87 : x
  2. Step 2: Convert to fraction form
    518.78/775.16 = 392.87/x
  3. Step 3: Cross multiply
    518.78x = 775.16 × 392.87
  4. Step 4: Simplify right side
    518.78x = 304,537.11
  5. Step 5: Solve for x
    x = 304,537.11/518.78
  6. Step 6: Final answer
    x = 587.03

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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.