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Finding the Fourth Proportional to 414.79, 617.90 and 407.91

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Solution

The fourth proportional to 414.79, 617.90 and 407.91 is: 607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.79 : 617.90 = 407.91 : x
  2. Step 2: Convert to fraction form
    414.79/617.90 = 407.91/x
  3. Step 3: Cross multiply
    414.79x = 617.90 × 407.91
  4. Step 4: Simplify right side
    414.79x = 252,047.59
  5. Step 5: Solve for x
    x = 252,047.59/414.79
  6. Step 6: Final answer
    x = 607.65

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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.