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Finding the Fourth Proportional to 782.13, 1,173.33 and 262.20

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Solution

The fourth proportional to 782.13, 1,173.33 and 262.20 is: 393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.13 : 1,173.33 = 262.20 : x
  2. Step 2: Convert to fraction form
    782.13/1,173.33 = 262.20/x
  3. Step 3: Cross multiply
    782.13x = 1,173.33 × 262.20
  4. Step 4: Simplify right side
    782.13x = 307,647.13
  5. Step 5: Solve for x
    x = 307,647.13/782.13
  6. Step 6: Final answer
    x = 393.35

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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.