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Finding the Fourth Proportional to 674.26, 931.16 and 464.96

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Solution

The fourth proportional to 674.26, 931.16 and 464.96 is: 642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.26 : 931.16 = 464.96 : x
  2. Step 2: Convert to fraction form
    674.26/931.16 = 464.96/x
  3. Step 3: Cross multiply
    674.26x = 931.16 × 464.96
  4. Step 4: Simplify right side
    674.26x = 432,955.64
  5. Step 5: Solve for x
    x = 432,955.64/674.26
  6. Step 6: Final answer
    x = 642.12

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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.