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Finding the Fourth Proportional to 661.52, 912.91 and 412.85

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Solution

The fourth proportional to 661.52, 912.91 and 412.85 is: 569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.52 : 912.91 = 412.85 : x
  2. Step 2: Convert to fraction form
    661.52/912.91 = 412.85/x
  3. Step 3: Cross multiply
    661.52x = 912.91 × 412.85
  4. Step 4: Simplify right side
    661.52x = 376,889.30
  5. Step 5: Solve for x
    x = 376,889.30/661.52
  6. Step 6: Final answer
    x = 569.73

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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.