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Finding the Fourth Proportional to 1,005.81, 1,388.10 and 563.78

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Solution

The fourth proportional to 1,005.81, 1,388.10 and 563.78 is: 778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.81 : 1,388.10 = 563.78 : x
  2. Step 2: Convert to fraction form
    1,005.81/1,388.10 = 563.78/x
  3. Step 3: Cross multiply
    1,005.81x = 1,388.10 × 563.78
  4. Step 4: Simplify right side
    1,005.81x = 782,583.02
  5. Step 5: Solve for x
    x = 782,583.02/1,005.81
  6. Step 6: Final answer
    x = 778.06

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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.