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Finding the Fourth Proportional to 429.14, 640.08 and 416.13

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Solution

The fourth proportional to 429.14, 640.08 and 416.13 is: 620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.14 : 640.08 = 416.13 : x
  2. Step 2: Convert to fraction form
    429.14/640.08 = 416.13/x
  3. Step 3: Cross multiply
    429.14x = 640.08 × 416.13
  4. Step 4: Simplify right side
    429.14x = 266,356.49
  5. Step 5: Solve for x
    x = 266,356.49/429.14
  6. Step 6: Final answer
    x = 620.68

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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.