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Finding the Fourth Proportional to 579.36, 865.41 and 415.74

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Solution

The fourth proportional to 579.36, 865.41 and 415.74 is: 621.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.36 : 865.41 = 415.74 : x
  2. Step 2: Convert to fraction form
    579.36/865.41 = 415.74/x
  3. Step 3: Cross multiply
    579.36x = 865.41 × 415.74
  4. Step 4: Simplify right side
    579.36x = 359,785.55
  5. Step 5: Solve for x
    x = 359,785.55/579.36
  6. Step 6: Final answer
    x = 621.01

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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.