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Finding the Fourth Proportional to 584.20, 876.30 and 533.80

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Solution

The fourth proportional to 584.20, 876.30 and 533.80 is: 800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 876.30 = 533.80 : x
  2. Step 2: Convert to fraction form
    584.20/876.30 = 533.80/x
  3. Step 3: Cross multiply
    584.20x = 876.30 × 533.80
  4. Step 4: Simplify right side
    584.20x = 467,768.94
  5. Step 5: Solve for x
    x = 467,768.94/584.20
  6. Step 6: Final answer
    x = 800.70

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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.