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Finding the Fourth Proportional to 873.69, 1,309.95 and 411.21

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Solution

The fourth proportional to 873.69, 1,309.95 and 411.21 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.69 : 1,309.95 = 411.21 : x
  2. Step 2: Convert to fraction form
    873.69/1,309.95 = 411.21/x
  3. Step 3: Cross multiply
    873.69x = 1,309.95 × 411.21
  4. Step 4: Simplify right side
    873.69x = 538,664.54
  5. Step 5: Solve for x
    x = 538,664.54/873.69
  6. Step 6: Final answer
    x = 616.54

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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.