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Finding the Fourth Proportional to 803.20, 1,200.62 and 783.76

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Solution

The fourth proportional to 803.20, 1,200.62 and 783.76 is: 1,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.20 : 1,200.62 = 783.76 : x
  2. Step 2: Convert to fraction form
    803.20/1,200.62 = 783.76/x
  3. Step 3: Cross multiply
    803.20x = 1,200.62 × 783.76
  4. Step 4: Simplify right side
    803.20x = 940,997.93
  5. Step 5: Solve for x
    x = 940,997.93/803.20
  6. Step 6: Final answer
    x = 1,171.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.