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Finding the Fourth Proportional to 480.74, 716.14 and 450.86

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Solution

The fourth proportional to 480.74, 716.14 and 450.86 is: 671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.74 : 716.14 = 450.86 : x
  2. Step 2: Convert to fraction form
    480.74/716.14 = 450.86/x
  3. Step 3: Cross multiply
    480.74x = 716.14 × 450.86
  4. Step 4: Simplify right side
    480.74x = 322,875.86
  5. Step 5: Solve for x
    x = 322,875.86/480.74
  6. Step 6: Final answer
    x = 671.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.