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Finding the Fourth Proportional to 661.42, 912.46 and 381.60

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Solution

The fourth proportional to 661.42, 912.46 and 381.60 is: 526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.42 : 912.46 = 381.60 : x
  2. Step 2: Convert to fraction form
    661.42/912.46 = 381.60/x
  3. Step 3: Cross multiply
    661.42x = 912.46 × 381.60
  4. Step 4: Simplify right side
    661.42x = 348,194.74
  5. Step 5: Solve for x
    x = 348,194.74/661.42
  6. Step 6: Final answer
    x = 526.44

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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.