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Finding the Fourth Proportional to 788.76, 1,178.15 and 657.90

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Solution

The fourth proportional to 788.76, 1,178.15 and 657.90 is: 982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.76 : 1,178.15 = 657.90 : x
  2. Step 2: Convert to fraction form
    788.76/1,178.15 = 657.90/x
  3. Step 3: Cross multiply
    788.76x = 1,178.15 × 657.90
  4. Step 4: Simplify right side
    788.76x = 775,101.60
  5. Step 5: Solve for x
    x = 775,101.60/788.76
  6. Step 6: Final answer
    x = 982.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.