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Finding the Fourth Proportional to 674.34, 929.88 and 581.34

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Solution

The fourth proportional to 674.34, 929.88 and 581.34 is: 801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.34 : 929.88 = 581.34 : x
  2. Step 2: Convert to fraction form
    674.34/929.88 = 581.34/x
  3. Step 3: Cross multiply
    674.34x = 929.88 × 581.34
  4. Step 4: Simplify right side
    674.34x = 540,576.44
  5. Step 5: Solve for x
    x = 540,576.44/674.34
  6. Step 6: Final answer
    x = 801.64

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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.