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Finding the Fourth Proportional to 782.63, 1,084.97 and 741.02

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Solution

The fourth proportional to 782.63, 1,084.97 and 741.02 is: 1,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.63 : 1,084.97 = 741.02 : x
  2. Step 2: Convert to fraction form
    782.63/1,084.97 = 741.02/x
  3. Step 3: Cross multiply
    782.63x = 1,084.97 × 741.02
  4. Step 4: Simplify right side
    782.63x = 803,979.04
  5. Step 5: Solve for x
    x = 803,979.04/782.63
  6. Step 6: Final answer
    x = 1,027.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.