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Finding the Fourth Proportional to 674.39, 931.07 and 464.94

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Solution

The fourth proportional to 674.39, 931.07 and 464.94 is: 641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.39 : 931.07 = 464.94 : x
  2. Step 2: Convert to fraction form
    674.39/931.07 = 464.94/x
  3. Step 3: Cross multiply
    674.39x = 931.07 × 464.94
  4. Step 4: Simplify right side
    674.39x = 432,892.85
  5. Step 5: Solve for x
    x = 432,892.85/674.39
  6. Step 6: Final answer
    x = 641.90

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1.5x scale

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.