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Finding the Fourth Proportional to 1,288.62, 1,777.95 and 823.14

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Solution

The fourth proportional to 1,288.62, 1,777.95 and 823.14 is: 1,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.62 : 1,777.95 = 823.14 : x
  2. Step 2: Convert to fraction form
    1,288.62/1,777.95 = 823.14/x
  3. Step 3: Cross multiply
    1,288.62x = 1,777.95 × 823.14
  4. Step 4: Simplify right side
    1,288.62x = 1,463,501.76
  5. Step 5: Solve for x
    x = 1,463,501.76/1,288.62
  6. Step 6: Final answer
    x = 1,135.71

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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.