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Finding the Fourth Proportional to 803.25, 1,202.72 and 570.92

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Solution

The fourth proportional to 803.25, 1,202.72 and 570.92 is: 854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.25 : 1,202.72 = 570.92 : x
  2. Step 2: Convert to fraction form
    803.25/1,202.72 = 570.92/x
  3. Step 3: Cross multiply
    803.25x = 1,202.72 × 570.92
  4. Step 4: Simplify right side
    803.25x = 686,648.03
  5. Step 5: Solve for x
    x = 686,648.03/803.25
  6. Step 6: Final answer
    x = 854.84

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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.