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Finding the Fourth Proportional to 1,008.45, 1,392 and 610.33

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Solution

The fourth proportional to 1,008.45, 1,392 and 610.33 is: 842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.45 : 1,392 = 610.33 : x
  2. Step 2: Convert to fraction form
    1,008.45/1,392 = 610.33/x
  3. Step 3: Cross multiply
    1,008.45x = 1,392 × 610.33
  4. Step 4: Simplify right side
    1,008.45x = 849,579.36
  5. Step 5: Solve for x
    x = 849,579.36/1,008.45
  6. Step 6: Final answer
    x = 842.46

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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.