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Finding the Fourth Proportional to 788.41, 1,086.65 and 591.58

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Solution

The fourth proportional to 788.41, 1,086.65 and 591.58 is: 815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.41 : 1,086.65 = 591.58 : x
  2. Step 2: Convert to fraction form
    788.41/1,086.65 = 591.58/x
  3. Step 3: Cross multiply
    788.41x = 1,086.65 × 591.58
  4. Step 4: Simplify right side
    788.41x = 642,837.45
  5. Step 5: Solve for x
    x = 642,837.45/788.41
  6. Step 6: Final answer
    x = 815.36

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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.