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Finding the Fourth Proportional to 506.78, 761.67 and 420.66

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Solution

The fourth proportional to 506.78, 761.67 and 420.66 is: 632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.78 : 761.67 = 420.66 : x
  2. Step 2: Convert to fraction form
    506.78/761.67 = 420.66/x
  3. Step 3: Cross multiply
    506.78x = 761.67 × 420.66
  4. Step 4: Simplify right side
    506.78x = 320,404.10
  5. Step 5: Solve for x
    x = 320,404.10/506.78
  6. Step 6: Final answer
    x = 632.24

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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.