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Finding the Fourth Proportional to 1,206.74, 1,664.74 and 709.22

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Solution

The fourth proportional to 1,206.74, 1,664.74 and 709.22 is: 978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.74 : 1,664.74 = 709.22 : x
  2. Step 2: Convert to fraction form
    1,206.74/1,664.74 = 709.22/x
  3. Step 3: Cross multiply
    1,206.74x = 1,664.74 × 709.22
  4. Step 4: Simplify right side
    1,206.74x = 1,180,666.90
  5. Step 5: Solve for x
    x = 1,180,666.90/1,206.74
  6. Step 6: Final answer
    x = 978.39

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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.