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Finding the Fourth Proportional to 674.37, 931.14 and 464.81

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Solution

The fourth proportional to 674.37, 931.14 and 464.81 is: 641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.37 : 931.14 = 464.81 : x
  2. Step 2: Convert to fraction form
    674.37/931.14 = 464.81/x
  3. Step 3: Cross multiply
    674.37x = 931.14 × 464.81
  4. Step 4: Simplify right side
    674.37x = 432,798.53
  5. Step 5: Solve for x
    x = 432,798.53/674.37
  6. Step 6: Final answer
    x = 641.78

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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.