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Finding the Fourth Proportional to 677.68, 934.92 and 522.64

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Solution

The fourth proportional to 677.68, 934.92 and 522.64 is: 721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.68 : 934.92 = 522.64 : x
  2. Step 2: Convert to fraction form
    677.68/934.92 = 522.64/x
  3. Step 3: Cross multiply
    677.68x = 934.92 × 522.64
  4. Step 4: Simplify right side
    677.68x = 488,626.59
  5. Step 5: Solve for x
    x = 488,626.59/677.68
  6. Step 6: Final answer
    x = 721.03

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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.