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Finding the Fourth Proportional to 1,318.46, 1,819.59 and 821.12

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Solution

The fourth proportional to 1,318.46, 1,819.59 and 821.12 is: 1,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.46 : 1,819.59 = 821.12 : x
  2. Step 2: Convert to fraction form
    1,318.46/1,819.59 = 821.12/x
  3. Step 3: Cross multiply
    1,318.46x = 1,819.59 × 821.12
  4. Step 4: Simplify right side
    1,318.46x = 1,494,101.74
  5. Step 5: Solve for x
    x = 1,494,101.74/1,318.46
  6. Step 6: Final answer
    x = 1,133.22

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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.