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Finding the Fourth Proportional to 493.92, 682.24 and 428.40

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Solution

The fourth proportional to 493.92, 682.24 and 428.40 is: 591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.92 : 682.24 = 428.40 : x
  2. Step 2: Convert to fraction form
    493.92/682.24 = 428.40/x
  3. Step 3: Cross multiply
    493.92x = 682.24 × 428.40
  4. Step 4: Simplify right side
    493.92x = 292,271.62
  5. Step 5: Solve for x
    x = 292,271.62/493.92
  6. Step 6: Final answer
    x = 591.74

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1.5x scale

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.