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Finding the Fourth Proportional to 1,220.66, 1,823.57 and 778.39

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Solution

The fourth proportional to 1,220.66, 1,823.57 and 778.39 is: 1,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.66 : 1,823.57 = 778.39 : x
  2. Step 2: Convert to fraction form
    1,220.66/1,823.57 = 778.39/x
  3. Step 3: Cross multiply
    1,220.66x = 1,823.57 × 778.39
  4. Step 4: Simplify right side
    1,220.66x = 1,419,457.76
  5. Step 5: Solve for x
    x = 1,419,457.76/1,220.66
  6. Step 6: Final answer
    x = 1,162.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.