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Finding the Fourth Proportional to 536.44, 800.28 and 522.87

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Solution

The fourth proportional to 536.44, 800.28 and 522.87 is: 780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.44 : 800.28 = 522.87 : x
  2. Step 2: Convert to fraction form
    536.44/800.28 = 522.87/x
  3. Step 3: Cross multiply
    536.44x = 800.28 × 522.87
  4. Step 4: Simplify right side
    536.44x = 418,442.40
  5. Step 5: Solve for x
    x = 418,442.40/536.44
  6. Step 6: Final answer
    x = 780.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.