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Finding the Fourth Proportional to 782.19, 1,172.88 and 262.01

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Solution

The fourth proportional to 782.19, 1,172.88 and 262.01 is: 392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.19 : 1,172.88 = 262.01 : x
  2. Step 2: Convert to fraction form
    782.19/1,172.88 = 262.01/x
  3. Step 3: Cross multiply
    782.19x = 1,172.88 × 262.01
  4. Step 4: Simplify right side
    782.19x = 307,309.22
  5. Step 5: Solve for x
    x = 307,309.22/782.19
  6. Step 6: Final answer
    x = 392.88

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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.