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Finding the Fourth Proportional to 987.82, 1,363.46 and 584.40

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Solution

The fourth proportional to 987.82, 1,363.46 and 584.40 is: 806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.82 : 1,363.46 = 584.40 : x
  2. Step 2: Convert to fraction form
    987.82/1,363.46 = 584.40/x
  3. Step 3: Cross multiply
    987.82x = 1,363.46 × 584.40
  4. Step 4: Simplify right side
    987.82x = 796,806.02
  5. Step 5: Solve for x
    x = 796,806.02/987.82
  6. Step 6: Final answer
    x = 806.63

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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.