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Finding the Fourth Proportional to 661.13, 913.46 and 522.31

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Solution

The fourth proportional to 661.13, 913.46 and 522.31 is: 721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.13 : 913.46 = 522.31 : x
  2. Step 2: Convert to fraction form
    661.13/913.46 = 522.31/x
  3. Step 3: Cross multiply
    661.13x = 913.46 × 522.31
  4. Step 4: Simplify right side
    661.13x = 477,109.29
  5. Step 5: Solve for x
    x = 477,109.29/661.13
  6. Step 6: Final answer
    x = 721.66

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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.