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Finding the Fourth Proportional to 445.77, 615.33 and 314.91

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Solution

The fourth proportional to 445.77, 615.33 and 314.91 is: 434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.77 : 615.33 = 314.91 : x
  2. Step 2: Convert to fraction form
    445.77/615.33 = 314.91/x
  3. Step 3: Cross multiply
    445.77x = 615.33 × 314.91
  4. Step 4: Simplify right side
    445.77x = 193,773.57
  5. Step 5: Solve for x
    x = 193,773.57/445.77
  6. Step 6: Final answer
    x = 434.69

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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.