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Finding the Fourth Proportional to 983.07, 1,356.75 and 687.83

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Solution

The fourth proportional to 983.07, 1,356.75 and 687.83 is: 949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.07 : 1,356.75 = 687.83 : x
  2. Step 2: Convert to fraction form
    983.07/1,356.75 = 687.83/x
  3. Step 3: Cross multiply
    983.07x = 1,356.75 × 687.83
  4. Step 4: Simplify right side
    983.07x = 933,206.57
  5. Step 5: Solve for x
    x = 933,206.57/983.07
  6. Step 6: Final answer
    x = 949.28

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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.