Home / 1,001.80-1,382.40-609.04

Finding the Fourth Proportional to 1,001.80, 1,382.40 and 609.04

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Solution

The fourth proportional to 1,001.80, 1,382.40 and 609.04 is: 840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.80 : 1,382.40 = 609.04 : x
  2. Step 2: Convert to fraction form
    1,001.80/1,382.40 = 609.04/x
  3. Step 3: Cross multiply
    1,001.80x = 1,382.40 × 609.04
  4. Step 4: Simplify right side
    1,001.80x = 841,936.90
  5. Step 5: Solve for x
    x = 841,936.90/1,001.80
  6. Step 6: Final answer
    x = 840.42

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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.