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Finding the Fourth Proportional to 576.48, 794.88 and 428.64

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Solution

The fourth proportional to 576.48, 794.88 and 428.64 is: 591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.48 : 794.88 = 428.64 : x
  2. Step 2: Convert to fraction form
    576.48/794.88 = 428.64/x
  3. Step 3: Cross multiply
    576.48x = 794.88 × 428.64
  4. Step 4: Simplify right side
    576.48x = 340,717.36
  5. Step 5: Solve for x
    x = 340,717.36/576.48
  6. Step 6: Final answer
    x = 591.03

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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.