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Finding the Fourth Proportional to 1,042.82, 1,563.98 and 312.20

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Solution

The fourth proportional to 1,042.82, 1,563.98 and 312.20 is: 468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.82 : 1,563.98 = 312.20 : x
  2. Step 2: Convert to fraction form
    1,042.82/1,563.98 = 312.20/x
  3. Step 3: Cross multiply
    1,042.82x = 1,563.98 × 312.20
  4. Step 4: Simplify right side
    1,042.82x = 488,265.18
  5. Step 5: Solve for x
    x = 488,265.18/1,042.82
  6. Step 6: Final answer
    x = 468.22

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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.