Home / 782.03-1,173.20-262.02

Finding the Fourth Proportional to 782.03, 1,173.20 and 262.02

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Solution

The fourth proportional to 782.03, 1,173.20 and 262.02 is: 393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.03 : 1,173.20 = 262.02 : x
  2. Step 2: Convert to fraction form
    782.03/1,173.20 = 262.02/x
  3. Step 3: Cross multiply
    782.03x = 1,173.20 × 262.02
  4. Step 4: Simplify right side
    782.03x = 307,400.55
  5. Step 5: Solve for x
    x = 307,400.55/782.03
  6. Step 6: Final answer
    x = 393.08

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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.