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Finding the Fourth Proportional to 788.17, 1,180.61 and 666.00

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Solution

The fourth proportional to 788.17, 1,180.61 and 666.00 is: 997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.17 : 1,180.61 = 666.00 : x
  2. Step 2: Convert to fraction form
    788.17/1,180.61 = 666.00/x
  3. Step 3: Cross multiply
    788.17x = 1,180.61 × 666.00
  4. Step 4: Simplify right side
    788.17x = 786,291.39
  5. Step 5: Solve for x
    x = 786,291.39/788.17
  6. Step 6: Final answer
    x = 997.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.