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Finding the Fourth Proportional to 591.72, 890.01 and 535.83

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Solution

The fourth proportional to 591.72, 890.01 and 535.83 is: 805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.72 : 890.01 = 535.83 : x
  2. Step 2: Convert to fraction form
    591.72/890.01 = 535.83/x
  3. Step 3: Cross multiply
    591.72x = 890.01 × 535.83
  4. Step 4: Simplify right side
    591.72x = 476,891.38
  5. Step 5: Solve for x
    x = 476,891.38/591.72
  6. Step 6: Final answer
    x = 805.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.