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Finding the Fourth Proportional to 1,042.49, 1,563.64 and 312.23

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Solution

The fourth proportional to 1,042.49, 1,563.64 and 312.23 is: 468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.49 : 1,563.64 = 312.23 : x
  2. Step 2: Convert to fraction form
    1,042.49/1,563.64 = 312.23/x
  3. Step 3: Cross multiply
    1,042.49x = 1,563.64 × 312.23
  4. Step 4: Simplify right side
    1,042.49x = 488,206.72
  5. Step 5: Solve for x
    x = 488,206.72/1,042.49
  6. Step 6: Final answer
    x = 468.31

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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.