Home / 1,002.30-1,382.95-609.31

Finding the Fourth Proportional to 1,002.30, 1,382.95 and 609.31

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Solution

The fourth proportional to 1,002.30, 1,382.95 and 609.31 is: 840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.30 : 1,382.95 = 609.31 : x
  2. Step 2: Convert to fraction form
    1,002.30/1,382.95 = 609.31/x
  3. Step 3: Cross multiply
    1,002.30x = 1,382.95 × 609.31
  4. Step 4: Simplify right side
    1,002.30x = 842,645.26
  5. Step 5: Solve for x
    x = 842,645.26/1,002.30
  6. Step 6: Final answer
    x = 840.71

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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.