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Finding the Fourth Proportional to 506.36, 760.08 and 411.32

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Solution

The fourth proportional to 506.36, 760.08 and 411.32 is: 617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.36 : 760.08 = 411.32 : x
  2. Step 2: Convert to fraction form
    506.36/760.08 = 411.32/x
  3. Step 3: Cross multiply
    506.36x = 760.08 × 411.32
  4. Step 4: Simplify right side
    506.36x = 312,636.11
  5. Step 5: Solve for x
    x = 312,636.11/506.36
  6. Step 6: Final answer
    x = 617.42

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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.