Home / 1,207.40-1,811.16-341.78

Finding the Fourth Proportional to 1,207.40, 1,811.16 and 341.78

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Solution

The fourth proportional to 1,207.40, 1,811.16 and 341.78 is: 512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.40 : 1,811.16 = 341.78 : x
  2. Step 2: Convert to fraction form
    1,207.40/1,811.16 = 341.78/x
  3. Step 3: Cross multiply
    1,207.40x = 1,811.16 × 341.78
  4. Step 4: Simplify right side
    1,207.40x = 619,018.26
  5. Step 5: Solve for x
    x = 619,018.26/1,207.40
  6. Step 6: Final answer
    x = 512.69

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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.