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Finding the Fourth Proportional to 1,009.71, 1,392.80 and 673.56

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Solution

The fourth proportional to 1,009.71, 1,392.80 and 673.56 is: 929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.71 : 1,392.80 = 673.56 : x
  2. Step 2: Convert to fraction form
    1,009.71/1,392.80 = 673.56/x
  3. Step 3: Cross multiply
    1,009.71x = 1,392.80 × 673.56
  4. Step 4: Simplify right side
    1,009.71x = 938,131.00
  5. Step 5: Solve for x
    x = 938,131.00/1,009.71
  6. Step 6: Final answer
    x = 929.11

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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.