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Finding the Fourth Proportional to 587.03, 878.11 and 533.57

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Solution

The fourth proportional to 587.03, 878.11 and 533.57 is: 798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.03 : 878.11 = 533.57 : x
  2. Step 2: Convert to fraction form
    587.03/878.11 = 533.57/x
  3. Step 3: Cross multiply
    587.03x = 878.11 × 533.57
  4. Step 4: Simplify right side
    587.03x = 468,527.43
  5. Step 5: Solve for x
    x = 468,527.43/587.03
  6. Step 6: Final answer
    x = 798.14

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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.