Home / 1,646.08-2,469.68-780.28

Finding the Fourth Proportional to 1,646.08, 2,469.68 and 780.28

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Solution

The fourth proportional to 1,646.08, 2,469.68 and 780.28 is: 1,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.08 : 2,469.68 = 780.28 : x
  2. Step 2: Convert to fraction form
    1,646.08/2,469.68 = 780.28/x
  3. Step 3: Cross multiply
    1,646.08x = 2,469.68 × 780.28
  4. Step 4: Simplify right side
    1,646.08x = 1,927,041.91
  5. Step 5: Solve for x
    x = 1,927,041.91/1,646.08
  6. Step 6: Final answer
    x = 1,170.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.