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Finding the Fourth Proportional to 417.44, 572.97 and 369.77

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Solution

The fourth proportional to 417.44, 572.97 and 369.77 is: 507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.44 : 572.97 = 369.77 : x
  2. Step 2: Convert to fraction form
    417.44/572.97 = 369.77/x
  3. Step 3: Cross multiply
    417.44x = 572.97 × 369.77
  4. Step 4: Simplify right side
    417.44x = 211,865.64
  5. Step 5: Solve for x
    x = 211,865.64/417.44
  6. Step 6: Final answer
    x = 507.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.