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Finding the Fourth Proportional to 674.41, 929.82 and 437.98

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Solution

The fourth proportional to 674.41, 929.82 and 437.98 is: 603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.41 : 929.82 = 437.98 : x
  2. Step 2: Convert to fraction form
    674.41/929.82 = 437.98/x
  3. Step 3: Cross multiply
    674.41x = 929.82 × 437.98
  4. Step 4: Simplify right side
    674.41x = 407,242.56
  5. Step 5: Solve for x
    x = 407,242.56/674.41
  6. Step 6: Final answer
    x = 603.85

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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.