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Finding the Fourth Proportional to 983.77, 1,359.55 and 806.46

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Solution

The fourth proportional to 983.77, 1,359.55 and 806.46 is: 1,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.77 : 1,359.55 = 806.46 : x
  2. Step 2: Convert to fraction form
    983.77/1,359.55 = 806.46/x
  3. Step 3: Cross multiply
    983.77x = 1,359.55 × 806.46
  4. Step 4: Simplify right side
    983.77x = 1,096,417.11
  5. Step 5: Solve for x
    x = 1,096,417.11/983.77
  6. Step 6: Final answer
    x = 1,114.51

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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.