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Finding the Fourth Proportional to 1,008.12, 1,390.49 and 709.99

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Solution

The fourth proportional to 1,008.12, 1,390.49 and 709.99 is: 979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.12 : 1,390.49 = 709.99 : x
  2. Step 2: Convert to fraction form
    1,008.12/1,390.49 = 709.99/x
  3. Step 3: Cross multiply
    1,008.12x = 1,390.49 × 709.99
  4. Step 4: Simplify right side
    1,008.12x = 987,227.04
  5. Step 5: Solve for x
    x = 987,227.04/1,008.12
  6. Step 6: Final answer
    x = 979.28

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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.