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Finding the Fourth Proportional to 674.60, 1,004.81 and 643

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Solution

The fourth proportional to 674.60, 1,004.81 and 643 is: 957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.60 : 1,004.81 = 643 : x
  2. Step 2: Convert to fraction form
    674.60/1,004.81 = 643/x
  3. Step 3: Cross multiply
    674.60x = 1,004.81 × 643
  4. Step 4: Simplify right side
    674.60x = 646,092.83
  5. Step 5: Solve for x
    x = 646,092.83/674.60
  6. Step 6: Final answer
    x = 957.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.