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Finding the Fourth Proportional to 983.19, 1,355.49 and 842.72

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Solution

The fourth proportional to 983.19, 1,355.49 and 842.72 is: 1,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.19 : 1,355.49 = 842.72 : x
  2. Step 2: Convert to fraction form
    983.19/1,355.49 = 842.72/x
  3. Step 3: Cross multiply
    983.19x = 1,355.49 × 842.72
  4. Step 4: Simplify right side
    983.19x = 1,142,291.76
  5. Step 5: Solve for x
    x = 1,142,291.76/983.19
  6. Step 6: Final answer
    x = 1,161.82

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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.