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Finding the Fourth Proportional to 1,612.45, 2,414.33 and 841.33

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Solution

The fourth proportional to 1,612.45, 2,414.33 and 841.33 is: 1,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.45 : 2,414.33 = 841.33 : x
  2. Step 2: Convert to fraction form
    1,612.45/2,414.33 = 841.33/x
  3. Step 3: Cross multiply
    1,612.45x = 2,414.33 × 841.33
  4. Step 4: Simplify right side
    1,612.45x = 2,031,248.26
  5. Step 5: Solve for x
    x = 2,031,248.26/1,612.45
  6. Step 6: Final answer
    x = 1,259.73

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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.