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Finding the Fourth Proportional to 418.53, 580.07 and 410.75

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Solution

The fourth proportional to 418.53, 580.07 and 410.75 is: 569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.53 : 580.07 = 410.75 : x
  2. Step 2: Convert to fraction form
    418.53/580.07 = 410.75/x
  3. Step 3: Cross multiply
    418.53x = 580.07 × 410.75
  4. Step 4: Simplify right side
    418.53x = 238,260.85
  5. Step 5: Solve for x
    x = 238,260.85/418.53
  6. Step 6: Final answer
    x = 569.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.