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Finding the Fourth Proportional to 576.51, 796.12 and 420.05

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Solution

The fourth proportional to 576.51, 796.12 and 420.05 is: 580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.51 : 796.12 = 420.05 : x
  2. Step 2: Convert to fraction form
    576.51/796.12 = 420.05/x
  3. Step 3: Cross multiply
    576.51x = 796.12 × 420.05
  4. Step 4: Simplify right side
    576.51x = 334,406.12
  5. Step 5: Solve for x
    x = 334,406.12/576.51
  6. Step 6: Final answer
    x = 580.05

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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.