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Finding the Fourth Proportional to 1,206.29, 1,664.54 and 709.08

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Solution

The fourth proportional to 1,206.29, 1,664.54 and 709.08 is: 978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.29 : 1,664.54 = 709.08 : x
  2. Step 2: Convert to fraction form
    1,206.29/1,664.54 = 709.08/x
  3. Step 3: Cross multiply
    1,206.29x = 1,664.54 × 709.08
  4. Step 4: Simplify right side
    1,206.29x = 1,180,292.02
  5. Step 5: Solve for x
    x = 1,180,292.02/1,206.29
  6. Step 6: Final answer
    x = 978.45

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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.