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Finding the Fourth Proportional to 446.24, 617.02 and 377.14

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Solution

The fourth proportional to 446.24, 617.02 and 377.14 is: 521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.24 : 617.02 = 377.14 : x
  2. Step 2: Convert to fraction form
    446.24/617.02 = 377.14/x
  3. Step 3: Cross multiply
    446.24x = 617.02 × 377.14
  4. Step 4: Simplify right side
    446.24x = 232,702.92
  5. Step 5: Solve for x
    x = 232,702.92/446.24
  6. Step 6: Final answer
    x = 521.47

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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.