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Finding the Fourth Proportional to 842.57, 1,262.75 and 646.83

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Solution

The fourth proportional to 842.57, 1,262.75 and 646.83 is: 969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.57 : 1,262.75 = 646.83 : x
  2. Step 2: Convert to fraction form
    842.57/1,262.75 = 646.83/x
  3. Step 3: Cross multiply
    842.57x = 1,262.75 × 646.83
  4. Step 4: Simplify right side
    842.57x = 816,784.58
  5. Step 5: Solve for x
    x = 816,784.58/842.57
  6. Step 6: Final answer
    x = 969.40

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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.