Home / 781.03-1,170.64-434.20

Finding the Fourth Proportional to 781.03, 1,170.64 and 434.20

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Solution

The fourth proportional to 781.03, 1,170.64 and 434.20 is: 650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.03 : 1,170.64 = 434.20 : x
  2. Step 2: Convert to fraction form
    781.03/1,170.64 = 434.20/x
  3. Step 3: Cross multiply
    781.03x = 1,170.64 × 434.20
  4. Step 4: Simplify right side
    781.03x = 508,289.26
  5. Step 5: Solve for x
    x = 508,289.26/781.03
  6. Step 6: Final answer
    x = 650.79

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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.