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Finding the Fourth Proportional to 1,142.01, 1,713.72 and 492.80

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Solution

The fourth proportional to 1,142.01, 1,713.72 and 492.80 is: 739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.01 : 1,713.72 = 492.80 : x
  2. Step 2: Convert to fraction form
    1,142.01/1,713.72 = 492.80/x
  3. Step 3: Cross multiply
    1,142.01x = 1,713.72 × 492.80
  4. Step 4: Simplify right side
    1,142.01x = 844,512.65
  5. Step 5: Solve for x
    x = 844,512.65/1,142.01
  6. Step 6: Final answer
    x = 739.50

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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.