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Finding the Fourth Proportional to 1,155.06, 1,730.97 and 769.50

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Solution

The fourth proportional to 1,155.06, 1,730.97 and 769.50 is: 1,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.06 : 1,730.97 = 769.50 : x
  2. Step 2: Convert to fraction form
    1,155.06/1,730.97 = 769.50/x
  3. Step 3: Cross multiply
    1,155.06x = 1,730.97 × 769.50
  4. Step 4: Simplify right side
    1,155.06x = 1,331,981.42
  5. Step 5: Solve for x
    x = 1,331,981.42/1,155.06
  6. Step 6: Final answer
    x = 1,153.17

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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.