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Finding the Fourth Proportional to 782.28, 1,172.16 and 416.16

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Solution

The fourth proportional to 782.28, 1,172.16 and 416.16 is: 623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.28 : 1,172.16 = 416.16 : x
  2. Step 2: Convert to fraction form
    782.28/1,172.16 = 416.16/x
  3. Step 3: Cross multiply
    782.28x = 1,172.16 × 416.16
  4. Step 4: Simplify right side
    782.28x = 487,806.11
  5. Step 5: Solve for x
    x = 487,806.11/782.28
  6. Step 6: Final answer
    x = 623.57

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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.