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Finding the Fourth Proportional to 782.90, 1,172.19 and 457.70

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Solution

The fourth proportional to 782.90, 1,172.19 and 457.70 is: 685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.90 : 1,172.19 = 457.70 : x
  2. Step 2: Convert to fraction form
    782.90/1,172.19 = 457.70/x
  3. Step 3: Cross multiply
    782.90x = 1,172.19 × 457.70
  4. Step 4: Simplify right side
    782.90x = 536,511.36
  5. Step 5: Solve for x
    x = 536,511.36/782.90
  6. Step 6: Final answer
    x = 685.29

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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.