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Finding the Fourth Proportional to 661.94, 913.51 and 382.24

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Solution

The fourth proportional to 661.94, 913.51 and 382.24 is: 527.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.94 : 913.51 = 382.24 : x
  2. Step 2: Convert to fraction form
    661.94/913.51 = 382.24/x
  3. Step 3: Cross multiply
    661.94x = 913.51 × 382.24
  4. Step 4: Simplify right side
    661.94x = 349,180.06
  5. Step 5: Solve for x
    x = 349,180.06/661.94
  6. Step 6: Final answer
    x = 527.51

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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.