Home / 1,742.35-2,612.79-509.48

Finding the Fourth Proportional to 1,742.35, 2,612.79 and 509.48

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Solution

The fourth proportional to 1,742.35, 2,612.79 and 509.48 is: 764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.35 : 2,612.79 = 509.48 : x
  2. Step 2: Convert to fraction form
    1,742.35/2,612.79 = 509.48/x
  3. Step 3: Cross multiply
    1,742.35x = 2,612.79 × 509.48
  4. Step 4: Simplify right side
    1,742.35x = 1,331,164.25
  5. Step 5: Solve for x
    x = 1,331,164.25/1,742.35
  6. Step 6: Final answer
    x = 764.01

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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.