Home / 1,764.16-2,646.16-609.84

Finding the Fourth Proportional to 1,764.16, 2,646.16 and 609.84

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Solution

The fourth proportional to 1,764.16, 2,646.16 and 609.84 is: 914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.16 : 2,646.16 = 609.84 : x
  2. Step 2: Convert to fraction form
    1,764.16/2,646.16 = 609.84/x
  3. Step 3: Cross multiply
    1,764.16x = 2,646.16 × 609.84
  4. Step 4: Simplify right side
    1,764.16x = 1,613,734.21
  5. Step 5: Solve for x
    x = 1,613,734.21/1,764.16
  6. Step 6: Final answer
    x = 914.73

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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.