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Finding the Fourth Proportional to 437.24, 660.83 and 429.68

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Solution

The fourth proportional to 437.24, 660.83 and 429.68 is: 649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.24 : 660.83 = 429.68 : x
  2. Step 2: Convert to fraction form
    437.24/660.83 = 429.68/x
  3. Step 3: Cross multiply
    437.24x = 660.83 × 429.68
  4. Step 4: Simplify right side
    437.24x = 283,944.94
  5. Step 5: Solve for x
    x = 283,944.94/437.24
  6. Step 6: Final answer
    x = 649.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.