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Finding the Fourth Proportional to 788.38, 1,087.48 and 567.63

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Solution

The fourth proportional to 788.38, 1,087.48 and 567.63 is: 782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.38 : 1,087.48 = 567.63 : x
  2. Step 2: Convert to fraction form
    788.38/1,087.48 = 567.63/x
  3. Step 3: Cross multiply
    788.38x = 1,087.48 × 567.63
  4. Step 4: Simplify right side
    788.38x = 617,286.27
  5. Step 5: Solve for x
    x = 617,286.27/788.38
  6. Step 6: Final answer
    x = 782.98

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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.