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Finding the Fourth Proportional to 781.84, 1,178.62 and 728.99

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Solution

The fourth proportional to 781.84, 1,178.62 and 728.99 is: 1,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.84 : 1,178.62 = 728.99 : x
  2. Step 2: Convert to fraction form
    781.84/1,178.62 = 728.99/x
  3. Step 3: Cross multiply
    781.84x = 1,178.62 × 728.99
  4. Step 4: Simplify right side
    781.84x = 859,200.37
  5. Step 5: Solve for x
    x = 859,200.37/781.84
  6. Step 6: Final answer
    x = 1,098.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.