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Finding the Fourth Proportional to 437.26, 653.15 and 429.16

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Solution

The fourth proportional to 437.26, 653.15 and 429.16 is: 641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.26 : 653.15 = 429.16 : x
  2. Step 2: Convert to fraction form
    437.26/653.15 = 429.16/x
  3. Step 3: Cross multiply
    437.26x = 653.15 × 429.16
  4. Step 4: Simplify right side
    437.26x = 280,305.85
  5. Step 5: Solve for x
    x = 280,305.85/437.26
  6. Step 6: Final answer
    x = 641.05

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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.