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Finding the Fourth Proportional to 1,042.36, 1,563.15 and 311.69

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Solution

The fourth proportional to 1,042.36, 1,563.15 and 311.69 is: 467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.36 : 1,563.15 = 311.69 : x
  2. Step 2: Convert to fraction form
    1,042.36/1,563.15 = 311.69/x
  3. Step 3: Cross multiply
    1,042.36x = 1,563.15 × 311.69
  4. Step 4: Simplify right side
    1,042.36x = 487,210.41
  5. Step 5: Solve for x
    x = 487,210.41/1,042.36
  6. Step 6: Final answer
    x = 467.41

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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.