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Finding the Fourth Proportional to 661.54, 913.89 and 522.58

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Solution

The fourth proportional to 661.54, 913.89 and 522.58 is: 721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.54 : 913.89 = 522.58 : x
  2. Step 2: Convert to fraction form
    661.54/913.89 = 522.58/x
  3. Step 3: Cross multiply
    661.54x = 913.89 × 522.58
  4. Step 4: Simplify right side
    661.54x = 477,580.64
  5. Step 5: Solve for x
    x = 477,580.64/661.54
  6. Step 6: Final answer
    x = 721.92

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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.