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Finding the Fourth Proportional to 441.13, 658.64 and 436.75

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Solution

The fourth proportional to 441.13, 658.64 and 436.75 is: 652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.13 : 658.64 = 436.75 : x
  2. Step 2: Convert to fraction form
    441.13/658.64 = 436.75/x
  3. Step 3: Cross multiply
    441.13x = 658.64 × 436.75
  4. Step 4: Simplify right side
    441.13x = 287,661.02
  5. Step 5: Solve for x
    x = 287,661.02/441.13
  6. Step 6: Final answer
    x = 652.10

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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.