Home / 1,206.13-1,664.46-654.13

Finding the Fourth Proportional to 1,206.13, 1,664.46 and 654.13

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Solution

The fourth proportional to 1,206.13, 1,664.46 and 654.13 is: 902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.13 : 1,664.46 = 654.13 : x
  2. Step 2: Convert to fraction form
    1,206.13/1,664.46 = 654.13/x
  3. Step 3: Cross multiply
    1,206.13x = 1,664.46 × 654.13
  4. Step 4: Simplify right side
    1,206.13x = 1,088,773.22
  5. Step 5: Solve for x
    x = 1,088,773.22/1,206.13
  6. Step 6: Final answer
    x = 902.70

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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.