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Finding the Fourth Proportional to 1,220.40, 1,684.40 and 778.28

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Solution

The fourth proportional to 1,220.40, 1,684.40 and 778.28 is: 1,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.40 : 1,684.40 = 778.28 : x
  2. Step 2: Convert to fraction form
    1,220.40/1,684.40 = 778.28/x
  3. Step 3: Cross multiply
    1,220.40x = 1,684.40 × 778.28
  4. Step 4: Simplify right side
    1,220.40x = 1,310,922.52
  5. Step 5: Solve for x
    x = 1,310,922.52/1,220.40
  6. Step 6: Final answer
    x = 1,074.17

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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.