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Finding the Fourth Proportional to 1,396.17, 1,923.62 and 953.30

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Solution

The fourth proportional to 1,396.17, 1,923.62 and 953.30 is: 1,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.17 : 1,923.62 = 953.30 : x
  2. Step 2: Convert to fraction form
    1,396.17/1,923.62 = 953.30/x
  3. Step 3: Cross multiply
    1,396.17x = 1,923.62 × 953.30
  4. Step 4: Simplify right side
    1,396.17x = 1,833,786.99
  5. Step 5: Solve for x
    x = 1,833,786.99/1,396.17
  6. Step 6: Final answer
    x = 1,313.44

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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.