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Finding the Fourth Proportional to 584.20, 771.72 and 584.20

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Solution

The fourth proportional to 584.20, 771.72 and 584.20 is: 771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 771.72 = 584.20 : x
  2. Step 2: Convert to fraction form
    584.20/771.72 = 584.20/x
  3. Step 3: Cross multiply
    584.20x = 771.72 × 584.20
  4. Step 4: Simplify right side
    584.20x = 450,838.82
  5. Step 5: Solve for x
    x = 450,838.82/584.20
  6. Step 6: Final answer
    x = 771.72

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.