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Finding the Fourth Proportional to 782.19, 1,078.52 and 634.37

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Solution

The fourth proportional to 782.19, 1,078.52 and 634.37 is: 874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.19 : 1,078.52 = 634.37 : x
  2. Step 2: Convert to fraction form
    782.19/1,078.52 = 634.37/x
  3. Step 3: Cross multiply
    782.19x = 1,078.52 × 634.37
  4. Step 4: Simplify right side
    782.19x = 684,172.17
  5. Step 5: Solve for x
    x = 684,172.17/782.19
  6. Step 6: Final answer
    x = 874.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.