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Finding the Fourth Proportional to 661.57, 912.74 and 396.10

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Solution

The fourth proportional to 661.57, 912.74 and 396.10 is: 546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.57 : 912.74 = 396.10 : x
  2. Step 2: Convert to fraction form
    661.57/912.74 = 396.10/x
  3. Step 3: Cross multiply
    661.57x = 912.74 × 396.10
  4. Step 4: Simplify right side
    661.57x = 361,536.31
  5. Step 5: Solve for x
    x = 361,536.31/661.57
  6. Step 6: Final answer
    x = 546.48

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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.