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Finding the Fourth Proportional to 579.36, 798.36 and 421.72

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Solution

The fourth proportional to 579.36, 798.36 and 421.72 is: 581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.36 : 798.36 = 421.72 : x
  2. Step 2: Convert to fraction form
    579.36/798.36 = 421.72/x
  3. Step 3: Cross multiply
    579.36x = 798.36 × 421.72
  4. Step 4: Simplify right side
    579.36x = 336,684.38
  5. Step 5: Solve for x
    x = 336,684.38/579.36
  6. Step 6: Final answer
    x = 581.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.