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Finding the Fourth Proportional to 493.28, 681.36 and 428.96

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Solution

The fourth proportional to 493.28, 681.36 and 428.96 is: 592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.28 : 681.36 = 428.96 : x
  2. Step 2: Convert to fraction form
    493.28/681.36 = 428.96/x
  3. Step 3: Cross multiply
    493.28x = 681.36 × 428.96
  4. Step 4: Simplify right side
    493.28x = 292,276.19
  5. Step 5: Solve for x
    x = 292,276.19/493.28
  6. Step 6: Final answer
    x = 592.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.