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Finding the Fourth Proportional to 418.61, 580.13 and 412.74

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Solution

The fourth proportional to 418.61, 580.13 and 412.74 is: 571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.61 : 580.13 = 412.74 : x
  2. Step 2: Convert to fraction form
    418.61/580.13 = 412.74/x
  3. Step 3: Cross multiply
    418.61x = 580.13 × 412.74
  4. Step 4: Simplify right side
    418.61x = 239,442.34
  5. Step 5: Solve for x
    x = 239,442.34/418.61
  6. Step 6: Final answer
    x = 571.99

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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.