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Finding the Fourth Proportional to 789.34, 1,087.81 and 567.91

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Solution

The fourth proportional to 789.34, 1,087.81 and 567.91 is: 782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.34 : 1,087.81 = 567.91 : x
  2. Step 2: Convert to fraction form
    789.34/1,087.81 = 567.91/x
  3. Step 3: Cross multiply
    789.34x = 1,087.81 × 567.91
  4. Step 4: Simplify right side
    789.34x = 617,772.74
  5. Step 5: Solve for x
    x = 617,772.74/789.34
  6. Step 6: Final answer
    x = 782.64

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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.