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Finding the Fourth Proportional to 1,422.02, 1,962.39 and 832.45

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Solution

The fourth proportional to 1,422.02, 1,962.39 and 832.45 is: 1,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.02 : 1,962.39 = 832.45 : x
  2. Step 2: Convert to fraction form
    1,422.02/1,962.39 = 832.45/x
  3. Step 3: Cross multiply
    1,422.02x = 1,962.39 × 832.45
  4. Step 4: Simplify right side
    1,422.02x = 1,633,581.74
  5. Step 5: Solve for x
    x = 1,633,581.74/1,422.02
  6. Step 6: Final answer
    x = 1,148.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.