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Finding the Fourth Proportional to 873.56, 1,310.42 and 440.44

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Solution

The fourth proportional to 873.56, 1,310.42 and 440.44 is: 660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.56 : 1,310.42 = 440.44 : x
  2. Step 2: Convert to fraction form
    873.56/1,310.42 = 440.44/x
  3. Step 3: Cross multiply
    873.56x = 1,310.42 × 440.44
  4. Step 4: Simplify right side
    873.56x = 577,161.38
  5. Step 5: Solve for x
    x = 577,161.38/873.56
  6. Step 6: Final answer
    x = 660.70

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1.5x scale

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.