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Finding the Fourth Proportional to 873.47, 1,310.78 and 411.38

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Solution

The fourth proportional to 873.47, 1,310.78 and 411.38 is: 617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.47 : 1,310.78 = 411.38 : x
  2. Step 2: Convert to fraction form
    873.47/1,310.78 = 411.38/x
  3. Step 3: Cross multiply
    873.47x = 1,310.78 × 411.38
  4. Step 4: Simplify right side
    873.47x = 539,232.98
  5. Step 5: Solve for x
    x = 539,232.98/873.47
  6. Step 6: Final answer
    x = 617.34

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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.