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Finding the Fourth Proportional to 1,262.07, 1,892.03 and 613.26

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Solution

The fourth proportional to 1,262.07, 1,892.03 and 613.26 is: 919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.07 : 1,892.03 = 613.26 : x
  2. Step 2: Convert to fraction form
    1,262.07/1,892.03 = 613.26/x
  3. Step 3: Cross multiply
    1,262.07x = 1,892.03 × 613.26
  4. Step 4: Simplify right side
    1,262.07x = 1,160,303.25
  5. Step 5: Solve for x
    x = 1,160,303.25/1,262.07
  6. Step 6: Final answer
    x = 919.37

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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.