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Finding the Fourth Proportional to 927.82, 1,389.57 and 782.02

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Solution

The fourth proportional to 927.82, 1,389.57 and 782.02 is: 1,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.82 : 1,389.57 = 782.02 : x
  2. Step 2: Convert to fraction form
    927.82/1,389.57 = 782.02/x
  3. Step 3: Cross multiply
    927.82x = 1,389.57 × 782.02
  4. Step 4: Simplify right side
    927.82x = 1,086,671.53
  5. Step 5: Solve for x
    x = 1,086,671.53/927.82
  6. Step 6: Final answer
    x = 1,171.21

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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.