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Finding the Fourth Proportional to 674.91, 931.55 and 405.92

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Solution

The fourth proportional to 674.91, 931.55 and 405.92 is: 560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.91 : 931.55 = 405.92 : x
  2. Step 2: Convert to fraction form
    674.91/931.55 = 405.92/x
  3. Step 3: Cross multiply
    674.91x = 931.55 × 405.92
  4. Step 4: Simplify right side
    674.91x = 378,128.09
  5. Step 5: Solve for x
    x = 378,128.09/674.91
  6. Step 6: Final answer
    x = 560.26

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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.