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Finding the Fourth Proportional to 1,005.19, 1,387.19 and 563.09

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Solution

The fourth proportional to 1,005.19, 1,387.19 and 563.09 is: 777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.19 : 1,387.19 = 563.09 : x
  2. Step 2: Convert to fraction form
    1,005.19/1,387.19 = 563.09/x
  3. Step 3: Cross multiply
    1,005.19x = 1,387.19 × 563.09
  4. Step 4: Simplify right side
    1,005.19x = 781,107.29
  5. Step 5: Solve for x
    x = 781,107.29/1,005.19
  6. Step 6: Final answer
    x = 777.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.