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Finding the Fourth Proportional to 1,411.70, 1,949.12 and 1,079.55

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Solution

The fourth proportional to 1,411.70, 1,949.12 and 1,079.55 is: 1,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.70 : 1,949.12 = 1,079.55 : x
  2. Step 2: Convert to fraction form
    1,411.70/1,949.12 = 1,079.55/x
  3. Step 3: Cross multiply
    1,411.70x = 1,949.12 × 1,079.55
  4. Step 4: Simplify right side
    1,411.70x = 2,104,157.35
  5. Step 5: Solve for x
    x = 2,104,157.35/1,411.70
  6. Step 6: Final answer
    x = 1,490.52

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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.