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Finding the Fourth Proportional to 983.63, 1,359.09 and 859.10

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Solution

The fourth proportional to 983.63, 1,359.09 and 859.10 is: 1,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.63 : 1,359.09 = 859.10 : x
  2. Step 2: Convert to fraction form
    983.63/1,359.09 = 859.10/x
  3. Step 3: Cross multiply
    983.63x = 1,359.09 × 859.10
  4. Step 4: Simplify right side
    983.63x = 1,167,594.22
  5. Step 5: Solve for x
    x = 1,167,594.22/983.63
  6. Step 6: Final answer
    x = 1,187.03

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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.