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Finding the Fourth Proportional to 661.48, 912.62 and 381.71

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Solution

The fourth proportional to 661.48, 912.62 and 381.71 is: 526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.48 : 912.62 = 381.71 : x
  2. Step 2: Convert to fraction form
    661.48/912.62 = 381.71/x
  3. Step 3: Cross multiply
    661.48x = 912.62 × 381.71
  4. Step 4: Simplify right side
    661.48x = 348,356.18
  5. Step 5: Solve for x
    x = 348,356.18/661.48
  6. Step 6: Final answer
    x = 526.63

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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.