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Finding the Fourth Proportional to 674.43, 931.05 and 464.64

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Solution

The fourth proportional to 674.43, 931.05 and 464.64 is: 641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.43 : 931.05 = 464.64 : x
  2. Step 2: Convert to fraction form
    674.43/931.05 = 464.64/x
  3. Step 3: Cross multiply
    674.43x = 931.05 × 464.64
  4. Step 4: Simplify right side
    674.43x = 432,603.07
  5. Step 5: Solve for x
    x = 432,603.07/674.43
  6. Step 6: Final answer
    x = 641.44

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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.