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Finding the Fourth Proportional to 873.92, 1,205.96 and 687.89

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Solution

The fourth proportional to 873.92, 1,205.96 and 687.89 is: 949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.92 : 1,205.96 = 687.89 : x
  2. Step 2: Convert to fraction form
    873.92/1,205.96 = 687.89/x
  3. Step 3: Cross multiply
    873.92x = 1,205.96 × 687.89
  4. Step 4: Simplify right side
    873.92x = 829,567.40
  5. Step 5: Solve for x
    x = 829,567.40/873.92
  6. Step 6: Final answer
    x = 949.25

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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.