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Finding the Fourth Proportional to 628.52, 864 and 561.42

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Solution

The fourth proportional to 628.52, 864 and 561.42 is: 771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.52 : 864 = 561.42 : x
  2. Step 2: Convert to fraction form
    628.52/864 = 561.42/x
  3. Step 3: Cross multiply
    628.52x = 864 × 561.42
  4. Step 4: Simplify right side
    628.52x = 485,066.88
  5. Step 5: Solve for x
    x = 485,066.88/628.52
  6. Step 6: Final answer
    x = 771.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.