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Finding the Fourth Proportional to 506.45, 756.24 and 415.33

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Solution

The fourth proportional to 506.45, 756.24 and 415.33 is: 620.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.45 : 756.24 = 415.33 : x
  2. Step 2: Convert to fraction form
    506.45/756.24 = 415.33/x
  3. Step 3: Cross multiply
    506.45x = 756.24 × 415.33
  4. Step 4: Simplify right side
    506.45x = 314,085.71
  5. Step 5: Solve for x
    x = 314,085.71/506.45
  6. Step 6: Final answer
    x = 620.17

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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.