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Finding the Fourth Proportional to 536.80, 734.12 and 522.40

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Solution

The fourth proportional to 536.80, 734.12 and 522.40 is: 714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.80 : 734.12 = 522.40 : x
  2. Step 2: Convert to fraction form
    536.80/734.12 = 522.40/x
  3. Step 3: Cross multiply
    536.80x = 734.12 × 522.40
  4. Step 4: Simplify right side
    536.80x = 383,504.29
  5. Step 5: Solve for x
    x = 383,504.29/536.80
  6. Step 6: Final answer
    x = 714.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.