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Finding the Fourth Proportional to 873.57, 1,310.16 and 728.25

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Solution

The fourth proportional to 873.57, 1,310.16 and 728.25 is: 1,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.57 : 1,310.16 = 728.25 : x
  2. Step 2: Convert to fraction form
    873.57/1,310.16 = 728.25/x
  3. Step 3: Cross multiply
    873.57x = 1,310.16 × 728.25
  4. Step 4: Simplify right side
    873.57x = 954,124.02
  5. Step 5: Solve for x
    x = 954,124.02/873.57
  6. Step 6: Final answer
    x = 1,092.21

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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.