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Finding the Fourth Proportional to 1,220.52, 1,684.08 and 778.08

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Solution

The fourth proportional to 1,220.52, 1,684.08 and 778.08 is: 1,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.52 : 1,684.08 = 778.08 : x
  2. Step 2: Convert to fraction form
    1,220.52/1,684.08 = 778.08/x
  3. Step 3: Cross multiply
    1,220.52x = 1,684.08 × 778.08
  4. Step 4: Simplify right side
    1,220.52x = 1,310,348.97
  5. Step 5: Solve for x
    x = 1,310,348.97/1,220.52
  6. Step 6: Final answer
    x = 1,073.60

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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.