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Finding the Fourth Proportional to 1,052.51, 1,578.39 and 311.90

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Solution

The fourth proportional to 1,052.51, 1,578.39 and 311.90 is: 467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.51 : 1,578.39 = 311.90 : x
  2. Step 2: Convert to fraction form
    1,052.51/1,578.39 = 311.90/x
  3. Step 3: Cross multiply
    1,052.51x = 1,578.39 × 311.90
  4. Step 4: Simplify right side
    1,052.51x = 492,298.28
  5. Step 5: Solve for x
    x = 492,298.28/1,052.51
  6. Step 6: Final answer
    x = 467.74

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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.