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Finding the Fourth Proportional to 674.51, 931.16 and 426.08

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Solution

The fourth proportional to 674.51, 931.16 and 426.08 is: 588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.51 : 931.16 = 426.08 : x
  2. Step 2: Convert to fraction form
    674.51/931.16 = 426.08/x
  3. Step 3: Cross multiply
    674.51x = 931.16 × 426.08
  4. Step 4: Simplify right side
    674.51x = 396,752.05
  5. Step 5: Solve for x
    x = 396,752.05/674.51
  6. Step 6: Final answer
    x = 588.21

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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.