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Finding the Fourth Proportional to 1,318.02, 1,819.78 and 820.76

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Solution

The fourth proportional to 1,318.02, 1,819.78 and 820.76 is: 1,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.02 : 1,819.78 = 820.76 : x
  2. Step 2: Convert to fraction form
    1,318.02/1,819.78 = 820.76/x
  3. Step 3: Cross multiply
    1,318.02x = 1,819.78 × 820.76
  4. Step 4: Simplify right side
    1,318.02x = 1,493,602.63
  5. Step 5: Solve for x
    x = 1,493,602.63/1,318.02
  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.