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Finding the Fourth Proportional to 453.98, 684.32 and 427.56

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Solution

The fourth proportional to 453.98, 684.32 and 427.56 is: 644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.98 : 684.32 = 427.56 : x
  2. Step 2: Convert to fraction form
    453.98/684.32 = 427.56/x
  3. Step 3: Cross multiply
    453.98x = 684.32 × 427.56
  4. Step 4: Simplify right side
    453.98x = 292,587.86
  5. Step 5: Solve for x
    x = 292,587.86/453.98
  6. Step 6: Final answer
    x = 644.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.