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Finding the Fourth Proportional to 612, 845.28 and 404.64

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Solution

The fourth proportional to 612, 845.28 and 404.64 is: 558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    612 : 845.28 = 404.64 : x
  2. Step 2: Convert to fraction form
    612/845.28 = 404.64/x
  3. Step 3: Cross multiply
    612x = 845.28 × 404.64
  4. Step 4: Simplify right side
    612x = 342,034.10
  5. Step 5: Solve for x
    x = 342,034.10/612
  6. Step 6: Final answer
    x = 558.88

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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.