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Finding the Fourth Proportional to 480.92, 722.34 and 451.76

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Solution

The fourth proportional to 480.92, 722.34 and 451.76 is: 678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.92 : 722.34 = 451.76 : x
  2. Step 2: Convert to fraction form
    480.92/722.34 = 451.76/x
  3. Step 3: Cross multiply
    480.92x = 722.34 × 451.76
  4. Step 4: Simplify right side
    480.92x = 326,320.71
  5. Step 5: Solve for x
    x = 326,320.71/480.92
  6. Step 6: Final answer
    x = 678.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.