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Finding the Fourth Proportional to 445.76, 671.13 and 407.52

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Solution

The fourth proportional to 445.76, 671.13 and 407.52 is: 613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.76 : 671.13 = 407.52 : x
  2. Step 2: Convert to fraction form
    445.76/671.13 = 407.52/x
  3. Step 3: Cross multiply
    445.76x = 671.13 × 407.52
  4. Step 4: Simplify right side
    445.76x = 273,496.86
  5. Step 5: Solve for x
    x = 273,496.86/445.76
  6. Step 6: Final answer
    x = 613.55

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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.