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Finding the Fourth Proportional to 857.56, 1,286.90 and 533.15

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Solution

The fourth proportional to 857.56, 1,286.90 and 533.15 is: 800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.56 : 1,286.90 = 533.15 : x
  2. Step 2: Convert to fraction form
    857.56/1,286.90 = 533.15/x
  3. Step 3: Cross multiply
    857.56x = 1,286.90 × 533.15
  4. Step 4: Simplify right side
    857.56x = 686,110.74
  5. Step 5: Solve for x
    x = 686,110.74/857.56
  6. Step 6: Final answer
    x = 800.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.