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Finding the Fourth Proportional to 1,043.50, 1,563.86 and 495.15

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Solution

The fourth proportional to 1,043.50, 1,563.86 and 495.15 is: 742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.50 : 1,563.86 = 495.15 : x
  2. Step 2: Convert to fraction form
    1,043.50/1,563.86 = 495.15/x
  3. Step 3: Cross multiply
    1,043.50x = 1,563.86 × 495.15
  4. Step 4: Simplify right side
    1,043.50x = 774,345.28
  5. Step 5: Solve for x
    x = 774,345.28/1,043.50
  6. Step 6: Final answer
    x = 742.07

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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.