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Finding the Fourth Proportional to 508.21, 765.54 and 501.82

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Solution

The fourth proportional to 508.21, 765.54 and 501.82 is: 755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.21 : 765.54 = 501.82 : x
  2. Step 2: Convert to fraction form
    508.21/765.54 = 501.82/x
  3. Step 3: Cross multiply
    508.21x = 765.54 × 501.82
  4. Step 4: Simplify right side
    508.21x = 384,161.37
  5. Step 5: Solve for x
    x = 384,161.37/508.21
  6. Step 6: Final answer
    x = 755.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.