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Finding the Fourth Proportional to 537.87, 800.39 and 536.06

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Solution

The fourth proportional to 537.87, 800.39 and 536.06 is: 797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.87 : 800.39 = 536.06 : x
  2. Step 2: Convert to fraction form
    537.87/800.39 = 536.06/x
  3. Step 3: Cross multiply
    537.87x = 800.39 × 536.06
  4. Step 4: Simplify right side
    537.87x = 429,050.38
  5. Step 5: Solve for x
    x = 429,050.38/537.87
  6. Step 6: Final answer
    x = 797.68

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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.