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Finding the Fourth Proportional to 1,006.75, 1,388.91 and 613.63

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Solution

The fourth proportional to 1,006.75, 1,388.91 and 613.63 is: 846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.75 : 1,388.91 = 613.63 : x
  2. Step 2: Convert to fraction form
    1,006.75/1,388.91 = 613.63/x
  3. Step 3: Cross multiply
    1,006.75x = 1,388.91 × 613.63
  4. Step 4: Simplify right side
    1,006.75x = 852,276.84
  5. Step 5: Solve for x
    x = 852,276.84/1,006.75
  6. Step 6: Final answer
    x = 846.56

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