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Finding the Fourth Proportional to 782.96, 1,172.15 and 678.52

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Solution

The fourth proportional to 782.96, 1,172.15 and 678.52 is: 1,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.96 : 1,172.15 = 678.52 : x
  2. Step 2: Convert to fraction form
    782.96/1,172.15 = 678.52/x
  3. Step 3: Cross multiply
    782.96x = 1,172.15 × 678.52
  4. Step 4: Simplify right side
    782.96x = 795,327.84
  5. Step 5: Solve for x
    x = 795,327.84/782.96
  6. Step 6: Final answer
    x = 1,015.80

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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.