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Finding the Fourth Proportional to 506.46, 761.20 and 420.36

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Solution

The fourth proportional to 506.46, 761.20 and 420.36 is: 631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.46 : 761.20 = 420.36 : x
  2. Step 2: Convert to fraction form
    506.46/761.20 = 420.36/x
  3. Step 3: Cross multiply
    506.46x = 761.20 × 420.36
  4. Step 4: Simplify right side
    506.46x = 319,978.03
  5. Step 5: Solve for x
    x = 319,978.03/506.46
  6. Step 6: Final answer
    x = 631.79

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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.