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Finding the Fourth Proportional to 2,262.48, 3,393.69 and 619.02

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Solution

The fourth proportional to 2,262.48, 3,393.69 and 619.02 is: 928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.48 : 3,393.69 = 619.02 : x
  2. Step 2: Convert to fraction form
    2,262.48/3,393.69 = 619.02/x
  3. Step 3: Cross multiply
    2,262.48x = 3,393.69 × 619.02
  4. Step 4: Simplify right side
    2,262.48x = 2,100,761.98
  5. Step 5: Solve for x
    x = 2,100,761.98/2,262.48
  6. Step 6: Final answer
    x = 928.52

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1.5x scale

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.