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Finding the Fourth Proportional to 674.89, 929.35 and 488.05

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Solution

The fourth proportional to 674.89, 929.35 and 488.05 is: 672.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.89 : 929.35 = 488.05 : x
  2. Step 2: Convert to fraction form
    674.89/929.35 = 488.05/x
  3. Step 3: Cross multiply
    674.89x = 929.35 × 488.05
  4. Step 4: Simplify right side
    674.89x = 453,569.27
  5. Step 5: Solve for x
    x = 453,569.27/674.89
  6. Step 6: Final answer
    x = 672.06

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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.