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Finding the Fourth Proportional to 1,383.99, 1,909.23 and 824.28

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Solution

The fourth proportional to 1,383.99, 1,909.23 and 824.28 is: 1,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.99 : 1,909.23 = 824.28 : x
  2. Step 2: Convert to fraction form
    1,383.99/1,909.23 = 824.28/x
  3. Step 3: Cross multiply
    1,383.99x = 1,909.23 × 824.28
  4. Step 4: Simplify right side
    1,383.99x = 1,573,740.10
  5. Step 5: Solve for x
    x = 1,573,740.10/1,383.99
  6. Step 6: Final answer
    x = 1,137.10

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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.