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Finding the Fourth Proportional to 829.84, 1,243.62 and 646.39

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Solution

The fourth proportional to 829.84, 1,243.62 and 646.39 is: 968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.84 : 1,243.62 = 646.39 : x
  2. Step 2: Convert to fraction form
    829.84/1,243.62 = 646.39/x
  3. Step 3: Cross multiply
    829.84x = 1,243.62 × 646.39
  4. Step 4: Simplify right side
    829.84x = 803,863.53
  5. Step 5: Solve for x
    x = 803,863.53/829.84
  6. Step 6: Final answer
    x = 968.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.